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22121004204 = 223313393229
BaseRepresentation
bin10100100110100000…
…111011110010101100
32010002122120110001000
4110212200323302230
5330300434113304
614055013520300
71412115301425
oct244640736254
963078513030
1022121004204
119421803962
124354343090
132116c3b000
1410dbc7c64c
15897081939
hex52683bcac

22121004204 has 96 divisors (see below), whose sum is σ = 62128472000. Its totient is φ = 6806389824.

The previous prime is 22121004203. The next prime is 22121004253. The reversal of 22121004204 is 40240012122.

22121004204 is a `hidden beast` number, since 221 + 21 + 0 + 0 + 420 + 4 = 666.

It is a super-3 number, since 3×221210042043 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121004203) by changing a digit.

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, 190662 + ... + 283890.

Almost surely, 222121004204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121004204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31064236000).

22121004204 is an abundant number, since it is smaller than the sum of its proper divisors (40007467796).

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

22121004204 is a wasteful number, since it uses less digits than its factorization.

22121004204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93281 (or 93247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22121004204 its reverse (40240012122), we get a palindrome (62361016326).

The spelling of 22121004204 in words is "twenty-two billion, one hundred twenty-one million, four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2197 3042 4394 4563 6084 6591 8788 9126 13182 18252 19773 26364 39546 59319 79092 93229 118638 186458 237276 279687 372916 559374 839061 1118748 1211977 1678122 2423954 2517183 3356244 3635931 4847908 5034366 7271862 10068732 10907793 14543724 15755701 21815586 31511402 32723379 43631172 47267103 63022804 65446758 94534206 130893516 141801309 189068412 204824113 283602618 409648226 425403927 567205236 614472339 819296452 850807854 1228944678 1701615708 1843417017 2457889356 3686834034 5530251051 7373668068 11060502102 22121004204