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22734612216 = 23324310967369
BaseRepresentation
bin10101001011000101…
…101010011011111000
32011200102011221222200
4111023011222123320
5333030030042331
614235533350200
71433246005161
oct251305523370
964612157880
1022734612216
119707106718
1244a5938360
1321b40bc784
141159568768
158d0d8b5e6
hex54b16a6f8

22734612216 has 96 divisors (see below), whose sum is σ = 63583806000. Its totient is φ = 7333949952.

The previous prime is 22734612181. The next prime is 22734612233. The reversal of 22734612216 is 61221643722.

22734612216 is a `hidden beast` number, since 2 + 2 + 7 + 34 + 612 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×227346122162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303780 + ... + 371148.

Almost surely, 222734612216 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 22734612216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31791903000).

22734612216 is an abundant number, since it is smaller than the sum of its proper divisors (40849193784).

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

22734612216 is a wasteful number, since it uses less digits than its factorization.

22734612216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67533 (or 67526 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 22734612216 in words is "twenty-two billion, seven hundred thirty-four million, six hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 109 129 172 218 258 327 344 387 436 516 654 774 872 981 1032 1308 1548 1962 2616 3096 3924 4687 7848 9374 14061 18748 28122 37496 42183 56244 67369 84366 112488 134738 168732 202107 269476 337464 404214 538952 606321 808428 1212642 1616856 2425284 2896867 4850568 5793734 7343221 8690601 11587468 14686442 17381202 22029663 23174936 26071803 29372884 34762404 44059326 52143606 58745768 66088989 69524808 88118652 104287212 132177978 176237304 208574424 264355956 315758503 528711912 631517006 947275509 1263034012 1894551018 2526068024 2841826527 3789102036 5683653054 7578204072 11367306108 22734612216