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22432342002 = 237354719927
BaseRepresentation
bin10100111001000100…
…100101111111110010
32010220100102001012120
4110321010211333302
5331420134421002
614145534535110
71422615522000
oct247104457762
963810361176
1022432342002
119571521624
124420667496
1321665a8565
14112b363a70
158b457ecbc
hex539125ff2

22432342002 has 64 divisors (see below), whose sum is σ = 52418611200. Its totient is φ = 6397202448.

The previous prime is 22432341979. The next prime is 22432342003. The reversal of 22432342002 is 20024323422.

It is a happy number.

22432342002 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (22432342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115763 + ... + 1135689.

It is an arithmetic number, because the mean of its divisors is an integer number (819040800).

Almost surely, 222432342002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22432342002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26209305600).

22432342002 is an abundant number, since it is smaller than the sum of its proper divisors (29986269198).

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

22432342002 is a wasteful number, since it uses less digits than its factorization.

22432342002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500 (or 20486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22432342002 its reverse (20024323422), we get a palindrome (42456665424).

The spelling of 22432342002 in words is "twenty-two billion, four hundred thirty-two million, three hundred forty-two thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 547 686 1029 1094 1641 2058 3282 3829 7658 11487 19927 22974 26803 39854 53606 59781 80409 119562 139489 160818 187621 278978 375242 418467 562863 836934 976423 1125726 1952846 2929269 5858538 6834961 10900069 13669922 20504883 21800138 32700207 41009766 65400414 76300483 152600966 228901449 457802898 534103381 1068206762 1602310143 3204620286 3738723667 7477447334 11216171001 22432342002