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22134242424 = 2337961913697
BaseRepresentation
bin10100100111010011…
…011011110001111000
32010010120111000110110
4110213103123301320
5330312331224144
614100205344320
71412335646010
oct244723336170
963116430413
1022134242424
119429225a38
1243588680a0
1321198c4788
1410dd926c40
158982e90b9
hex5274dbc78

22134242424 has 64 divisors (see below), whose sum is σ = 63251884800. Its totient is φ = 6322950144.

The previous prime is 22134242419. The next prime is 22134242443. The reversal of 22134242424 is 42424243122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22134242391 and 22134242400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1609144 + ... + 1622840.

It is an arithmetic number, because the mean of its divisors is an integer number (988310700).

Almost surely, 222134242424 is an apocalyptic number.

22134242424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22134242424 is an abundant number, since it is smaller than the sum of its proper divisors (41117642376).

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

22134242424 is a wasteful number, since it uses less digits than its factorization.

22134242424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23332 (or 23328 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 22134242424 its reverse (42424243122), we get a palindrome (64558485546).

The spelling of 22134242424 in words is "twenty-two billion, one hundred thirty-four million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 9619 13697 19238 27394 28857 38476 41091 54788 57714 67333 76952 82182 95879 109576 115428 134666 164364 191758 201999 230856 269332 287637 328728 383516 403998 538664 575274 767032 807996 1150548 1615992 2301096 131751443 263502886 395254329 527005772 790508658 922260101 1054011544 1581017316 1844520202 2766780303 3162034632 3689040404 5533560606 7378080808 11067121212 22134242424