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22320012234 = 23131931374801
BaseRepresentation
bin10100110010011000…
…000101101111001010
32010121112001002201210
4110302120011233022
5331202410342414
614130443153550
71420052654652
oct246230055712
963545032653
1022320012234
119514079603
1243aab158b6
132149238940
14111a483362
158a9791e59
hex532605bca

22320012234 has 64 divisors (see below), whose sum is σ = 50630751360. Its totient is φ = 6502809600.

The previous prime is 22320012223. The next prime is 22320012257. The reversal of 22320012234 is 43221002322.

It is a super-3 number, since 3×223200122343 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22320012234.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4646634 + ... + 4651434.

It is an arithmetic number, because the mean of its divisors is an integer number (791105490).

Almost surely, 222320012234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320012234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25315375680).

22320012234 is an abundant number, since it is smaller than the sum of its proper divisors (28310739126).

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

22320012234 is a wasteful number, since it uses less digits than its factorization.

22320012234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22320012234 its reverse (43221002322), we get a palindrome (65541014556).

The spelling of 22320012234 in words is "twenty-two billion, three hundred twenty million, twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 3137 4801 6274 9411 9602 14403 18822 28806 40781 59603 62413 81562 91219 119206 122343 124826 178809 182438 187239 244686 273657 357618 374478 547314 774839 1185847 1549678 2324517 2371694 3557541 4649034 7115082 15060737 30121474 45182211 90364422 195789581 286154003 391579162 572308006 587368743 858462009 1174737486 1716924018 3720002039 7440004078 11160006117 22320012234