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23250216704 = 2811131933427
BaseRepresentation
bin10101101001110100…
…100010011100000000
32020000100101101101012
4111221310202130000
5340104023413304
614403032500052
71452106403231
oct255164423400
966010341335
1023250216704
119951160a30
12460a54a628
132266b793a0
1411a7c23088
1591128816e
hex569d22700

23250216704 has 144 divisors (see below), whose sum is σ = 57394538880. Its totient is φ = 9241620480.

The previous prime is 23250216643. The next prime is 23250216713. The reversal of 23250216704 is 40761205232.

It is a super-3 number, since 3×232502167043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 678839 + ... + 712265.

Almost surely, 223250216704 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 23250216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697269440).

23250216704 is an abundant number, since it is smaller than the sum of its proper divisors (34144322176).

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

23250216704 is a wasteful number, since it uses less digits than its factorization.

23250216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33486 (or 33472 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 23250216704 in words is "twenty-three billion, two hundred fifty million, two hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 128 143 152 176 208 209 247 256 286 304 352 416 418 494 572 608 704 832 836 988 1144 1216 1408 1664 1672 1976 2288 2432 2717 2816 3328 3344 3952 4576 4864 5434 6688 7904 9152 10868 13376 15808 18304 21736 26752 31616 33427 36608 43472 53504 63232 66854 86944 133708 173888 267416 347776 367697 434551 534832 635113 695552 735394 869102 1069664 1270226 1470788 1738204 2139328 2540452 2941576 3476408 4278656 4780061 5080904 5883152 6952816 6986243 8256469 8557312 9560122 10161808 11766304 13905632 13972486 16512938 19120244 20323616 23532608 27811264 27944972 33025876 38240488 40647232 47065216 55622528 55889944 66051752 76480976 81294464 90821159 94130432 111245056 111779888 132103504 152961952 162588928 181642318 223559776 264207008 305923904 363284636 447119552 528414016 611847808 726569272 894239104 1056828032 1223695616 1453138544 1788478208 2113656064 2906277088 5812554176 11625108352 23250216704