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22233020240 = 2451719863997
BaseRepresentation
bin10100101101001100…
…001111011101010000
32010101110100110011002
4110231030033131100
5331013123121430
614114054441132
71414645360664
oct245514173520
963343313132
1022233020240
119479a621a2
1243859631a8
1321341caba2
14110caba8a4
158a1d0b845
hex52d30f750

22233020240 has 160 divisors (see below), whose sum is σ = 57737733120. Its totient is φ = 7912415232.

The previous prime is 22233020237. The next prime is 22233020353. The reversal of 22233020240 is 4202033222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22299422 + ... + 22300418.

It is an arithmetic number, because the mean of its divisors is an integer number (360860832).

Almost surely, 222233020240 is an apocalyptic number.

22233020240 is a gapful number since it is divisible by the number (20) 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 22233020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28868866560).

22233020240 is an abundant number, since it is smaller than the sum of its proper divisors (35504712880).

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

22233020240 is a wasteful number, since it uses less digits than its factorization.

22233020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22233020240 its reverse (4202033222), we get a palindrome (26435053462).

The spelling of 22233020240 in words is "twenty-two billion, two hundred thirty-three million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 863 997 1292 1360 1520 1615 1726 1994 2584 3230 3452 3988 4315 4985 5168 6460 6904 7976 8630 9970 12920 13808 14671 15952 16397 16949 17260 18943 19940 25840 29342 32794 33898 34520 37886 39880 58684 65588 67796 69040 73355 75772 79760 81985 84745 94715 117368 131176 135592 146710 151544 163970 169490 189430 234736 262352 271184 278749 293420 303088 322031 327940 338980 378860 557498 586840 644062 655880 677960 757720 860411 1114996 1173680 1288124 1311760 1355920 1393745 1515440 1610155 1720822 2229992 2576248 2787490 3220310 3441644 4302055 4459984 5152496 5574980 6440620 6883288 8604110 11149960 12881240 13766576 14626987 16347809 17208220 22299920 25762480 29253974 32695618 34416440 58507948 65391236 68832880 73134935 81739045 117015896 130782472 146269870 163478090 234031792 261564944 277912753 292539740 326956180 555825506 585079480 653912360 1111651012 1170158960 1307824720 1389563765 2223302024 2779127530 4446604048 5558255060 11116510120 22233020240