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22450475616 = 2534114513931
BaseRepresentation
bin10100111010001001…
…110001001001100000
32010221121112022211220
4110322021301021200
5331434310204431
614151423335040
71423225615452
oct247211611140
963847468756
1022450475616
119580787688
124426751480
13216a2872ca
14112d9242d2
158b5e62b96
hex53a271260

22450475616 has 96 divisors (see below), whose sum is σ = 60426850176. Its totient is φ = 7294080000.

The previous prime is 22450475561. The next prime is 22450475627. The reversal of 22450475616 is 61657405422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×224504756162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5709171 + ... + 5713101.

It is an arithmetic number, because the mean of its divisors is an integer number (629446356).

Almost surely, 222450475616 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 22450475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213425088).

22450475616 is an abundant number, since it is smaller than the sum of its proper divisors (37976374560).

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

22450475616 is a wasteful number, since it uses less digits than its factorization.

22450475616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 22450475616 in words is "twenty-two billion, four hundred fifty million, four hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1451 1968 2902 3931 3936 4353 5804 7862 8706 11608 11793 15724 17412 23216 23586 31448 34824 46432 47172 59491 62896 69648 94344 118982 125792 139296 161171 178473 188688 237964 322342 356946 377376 475928 483513 644684 713892 951856 967026 1289368 1427784 1903712 1934052 2578736 2855568 3868104 5157472 5703881 5711136 7736208 11407762 15472416 17111643 22815524 34223286 45631048 68446572 91262096 136893144 182524192 233859121 273786288 467718242 547572576 701577363 935436484 1403154726 1870872968 2806309452 3741745936 5612618904 7483491872 11225237808 22450475616