Search a number
-
+
232022221002 = 2321113475118973
BaseRepresentation
bin1101100000010110011…
…0100010000011001010
3211011220000202001120200
43120011212202003022
512300140142033002
6254331201233030
722522504223625
oct3300546420312
9734800661520
10232022221002
118a444549860
1238b73932776
1318b5863b940
14b330d2adbc
15607e89eb1c
hex36059a20ca

232022221002 has 96 divisors (see below), whose sum is σ = 590757463296. Its totient is φ = 64884240000.

The previous prime is 232022220977. The next prime is 232022221027. The reversal of 232022221002 is 200122220232.

232022221002 is a `hidden beast` number, since 232 + 0 + 222 + 210 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (232022220977) and next prime (232022221027).

It is a super-2 number, since 2×2320222210022 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12219588 + ... + 12238560.

It is an arithmetic number, because the mean of its divisors is an integer number (6153723576).

Almost surely, 2232022221002 is an apocalyptic number.

232022221002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232022221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295378731648).

232022221002 is an abundant number, since it is smaller than the sum of its proper divisors (358735242294).

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

232022221002 is a wasteful number, since it uses less digits than its factorization.

232022221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23756 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232022221002 its reverse (200122220232), we get a palindrome (432144441234).

The spelling of 232022221002 in words is "two hundred thirty-two billion, twenty-two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 4751 9502 14253 18973 28506 37946 42759 52261 56919 61763 85518 104522 113838 123526 156783 170757 185289 208703 246649 313566 341514 370578 417406 470349 493298 555867 626109 679393 739947 940698 1111734 1252218 1358786 1479894 1878327 2038179 2219841 2713139 3756654 4076358 4439682 5426278 6114537 8139417 12229074 16278834 24418251 48836502 90140723 180281446 270422169 540844338 811266507 991547953 1171829399 1622533014 1983095906 2343658798 2974643859 3515488197 5949287718 7030976394 8923931577 10546464591 12890123389 17847863154 21092929182 25780246778 38670370167 77340740334 116011110501 232022221002