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22740159924 = 22326774312689
BaseRepresentation
bin10101001011011010…
…110100110110110100
32011200210121211000100
4111023122310312310
5333032440104144
614240252314100
71433344112226
oct251332646664
964623554010
1022740159924
11970a2557a9
1244a7772930
1321b52b2941
14115a1b0416
158d15d5269
hex54b6b4db4

22740159924 has 72 divisors (see below), whose sum is σ = 58423135680. Its totient is φ = 7456280832.

The previous prime is 22740159881. The next prime is 22740159941. The reversal of 22740159924 is 42995104722.

It is a super-2 number, since 2×227401599242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22740159924.

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 23 ways as a sum of consecutive naturals, for example, 1785772 + ... + 1798460.

It is an arithmetic number, because the mean of its divisors is an integer number (811432440).

Almost surely, 222740159924 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 22740159924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211567840).

22740159924 is an abundant number, since it is smaller than the sum of its proper divisors (35682975756).

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

22740159924 is a wasteful number, since it uses less digits than its factorization.

22740159924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22740159924 in words is "twenty-two billion, seven hundred forty million, one hundred fifty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 743 804 1206 1486 2229 2412 2972 4458 6687 8916 12689 13374 25378 26748 38067 49781 50756 76134 99562 114201 149343 152268 199124 228402 298686 448029 456804 597372 850163 896058 1700326 1792116 2550489 3400652 5100978 7651467 9427927 10201956 15302934 18855854 28283781 30605868 37711708 56567562 84851343 113135124 169702686 339405372 631671109 1263342218 1895013327 2526684436 3790026654 5685039981 7580053308 11370079962 22740159924