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22892289216 = 2631718138749
BaseRepresentation
bin10101010100011111…
…001001110011000000
32012002101212210011120
4111110133021303000
5333340411223331
614303325112240
71440202150656
oct252437116300
965071783146
1022892289216
119788111795
12452a6b8680
13220a978a84
141172490dd6
158deb35796
hex5547c9cc0

22892289216 has 112 divisors (see below), whose sum is σ = 64488060000. Its totient is φ = 7142031360.

The previous prime is 22892289191. The next prime is 22892289221. The reversal of 22892289216 is 61298229822.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 571410 + ... + 610158.

It is an arithmetic number, because the mean of its divisors is an integer number (575786250).

Almost surely, 222892289216 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 22892289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244030000).

22892289216 is an abundant number, since it is smaller than the sum of its proper divisors (41595770784).

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

22892289216 is a wasteful number, since it uses less digits than its factorization.

22892289216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38962 (or 38952 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 22892289216 in words is "twenty-two billion, eight hundred ninety-two million, two hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 181 192 204 272 362 408 543 544 724 816 1086 1088 1448 1632 2172 2896 3077 3264 4344 5792 6154 8688 9231 11584 12308 17376 18462 24616 34752 36924 38749 49232 73848 77498 98464 116247 147696 154996 196928 232494 295392 309992 464988 590784 619984 658733 929976 1239968 1317466 1859952 1976199 2479936 2634932 3719904 3952398 5269864 7013569 7439808 7904796 10539728 14027138 15809592 21040707 21079456 28054276 31619184 42081414 42158912 56108552 63238368 84162828 112217104 119230673 126476736 168325656 224434208 238461346 336651312 357692019 448868416 476922692 673302624 715384038 953845384 1346605248 1430768076 1907690768 2861536152 3815381536 5723072304 7630763072 11446144608 22892289216