Search a number
-
+
22111020022212 = 223211347178390247
BaseRepresentation
bin1010000011100000111110…
…11111100111100111000100
32220021210102000001211102100
411001300133133213213010
510344231332111202322
6115005355023312100
74441316455112052
oct501603737474704
986253360054370
1022111020022212
11705525a4077a0
12259131ba4b630
13c450a2472734
145662715711d2
15285259794dac
hex141c1f7e79c4

22111020022212 has 144 divisors (see below), whose sum is σ = 61183500198912. Its totient is φ = 6677178805440.

The previous prime is 22111020022177. The next prime is 22111020022213. The reversal of 22111020022212 is 21222002011122.

It is a happy number.

22111020022212 is a `hidden beast` number, since 221 + 1 + 10 + 200 + 22 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22111020022213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244960473 + ... + 245050719.

It is an arithmetic number, because the mean of its divisors is an integer number (424885418048).

Almost surely, 222111020022212 is an apocalyptic number.

22111020022212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111020022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30591750099456).

22111020022212 is an abundant number, since it is smaller than the sum of its proper divisors (39072480176700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22111020022212 is a wasteful number, since it uses less digits than its factorization.

22111020022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92398 (or 92393 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22111020022212 its reverse (21222002011122), we get a palindrome (43333022033334).

The spelling of 22111020022212 in words is "twenty-two trillion, one hundred eleven billion, twenty million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1388 1783 2082 3123 3566 3817 4164 5349 6246 7132 7634 10698 11451 12492 15268 16047 19613 21396 22902 32094 34353 39226 45804 58839 64188 68706 78452 90247 117678 137412 176517 180494 235356 270741 353034 360988 541482 618701 706068 812223 992717 1082964 1237402 1624446 1856103 1985434 2474804 2978151 3248892 3712206 3970868 5568309 5956302 6805711 7424412 8934453 11136618 11912604 13611422 17868906 20417133 22273236 27222844 31315709 35737812 40834266 61251399 62631418 81668532 93947127 122502798 125262836 160910401 187894254 245005596 281841381 321820802 344472799 375788508 482731203 563682762 643641604 688945598 965462406 1033418397 1127365524 1377891196 1448193609 1770014411 1930924812 2066836794 2896387218 3100255191 3540028822 4133673588 5310043233 5792774436 6200510382 7080057644 10620086466 12401020764 15930129699 21240172932 31860259398 55835909147 63720518796 111671818294 167507727441 223343636588 335015454882 502523182323 614195000617 670030909764 1005046364646 1228390001234 1842585001851 2010092729292 2456780002468 3685170003702 5527755005553 7370340007404 11055510011106 22111020022212