Search a number
-
+
22224102040 = 2357175388093
BaseRepresentation
bin10100101100101010…
…001110001010011000
32010100211120100200101
4110230222032022120
5331003332231130
614113135345144
71414506515260
oct245452161230
963324510611
1022224102040
119474a20888
1243829821b4
1321323c784a
14110b8387a0
158a11491ca
hex52ca8e298

22224102040 has 128 divisors (see below), whose sum is σ = 61651704960. Its totient is φ = 7036084224.

The previous prime is 22224101971. The next prime is 22224102041. The reversal of 22224102040 is 4020142222.

22224102040 = 563432 + 563442 + ... + 563492.

It is a super-2 number, since 2×222241020402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22224101999 and 22224102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224102041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208234 + ... + 296326.

It is an arithmetic number, because the mean of its divisors is an integer number (481653945).

Almost surely, 222224102040 is an apocalyptic number.

22224102040 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 22224102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30825852480).

22224102040 is an abundant number, since it is smaller than the sum of its proper divisors (39427602920).

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

22224102040 is a wasteful number, since it uses less digits than its factorization.

22224102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88181 (or 88177 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 22224102040 its reverse (4020142222), we get a palindrome (26244244262).

The spelling of 22224102040 in words is "twenty-two billion, two hundred twenty-four million, one hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 53 56 68 70 85 106 119 136 140 170 212 238 265 280 340 371 424 476 530 595 680 742 901 952 1060 1190 1484 1802 1855 2120 2380 2968 3604 3710 4505 4760 6307 7208 7420 9010 12614 14840 18020 25228 31535 36040 50456 63070 88093 126140 176186 252280 352372 440465 616651 704744 880930 1233302 1497581 1761860 2466604 2995162 3083255 3523720 4668929 4933208 5990324 6166510 7487905 9337858 10483067 11980648 12333020 14975810 18675716 20966134 23344645 24666040 29951620 32682503 37351432 41932268 46689290 52415335 59903240 65365006 79371793 83864536 93378580 104830670 130730012 158743586 163412515 186757160 209661340 261460024 317487172 326825030 396858965 419322680 555602551 634974344 653650060 793717930 1111205102 1307300120 1587435860 2222410204 2778012755 3174871720 4444820408 5556025510 11112051020 22224102040