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21223432212 = 22319372515817
BaseRepresentation
bin10011110001000000…
…111110000000010100
32000210002122001201220
4103301000332000110
5321431144312322
613425551450340
71350636124443
oct236100760024
960702561656
1021223432212
11900108a824
1241438269b0
132002cb4818
141054994d5a
1584338455c
hex4f103e014

21223432212 has 48 divisors (see below), whose sum is σ = 53536607040. Its totient is φ = 6520995072.

The previous prime is 21223432211. The next prime is 21223432261.

21223432212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223432211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249473 + ... + 1266344.

It is an arithmetic number, because the mean of its divisors is an integer number (1115345980).

Almost surely, 221223432212 is an apocalyptic number.

It is an amenable number.

21223432212 is an abundant number, since it is smaller than the sum of its proper divisors (32313174828).

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

21223432212 is a wasteful number, since it uses less digits than its factorization.

21223432212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515880 (or 2515878 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The spelling of 21223432212 in words is "twenty-one billion, two hundred twenty-three million, four hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 2515817 5031634 7547451 10063268 15094902 30189804 47800523 93085229 95601046 143401569 186170458 191202092 279255687 286803138 372340916 558511374 573606276 1117022748 1768619351 3537238702 5305858053 7074477404 10611716106 21223432212