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5231223216 = 243331735351
BaseRepresentation
bin1001101111100111…
…00010000110110000
3111111120110200012000
410313303202012300
541203143120331
62223031134000
7243430443432
oct46763420660
914446420160
105231223216
11224498647a
12101bb14300
13654a2886b
14378a90652
152093cc0e6
hex137ce21b0

5231223216 has 160 divisors (see below), whose sum is σ = 15715184640. Its totient is φ = 1664064000.

The previous prime is 5231223211. The next prime is 5231223223. The reversal of 5231223216 is 6123221325.

It is a happy number.

5231223216 is a `hidden beast` number, since 523 + 122 + 3 + 2 + 16 = 666.

It is a super-3 number, since 3×52312232163 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5231223216.

It is not an unprimeable number, because it can be changed into a prime (5231223211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974941 + ... + 980291.

It is an arithmetic number, because the mean of its divisors is an integer number (98219904).

Almost surely, 25231223216 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 5231223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857592320).

5231223216 is an abundant number, since it is smaller than the sum of its proper divisors (10483961424).

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

5231223216 is a wasteful number, since it uses less digits than its factorization.

5231223216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5460 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 5231223216 is about 72327.1955491155. The cubic root of 5231223216 is about 1735.9388282154.

The spelling of 5231223216 in words is "five billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 73 93 108 124 144 146 186 216 219 248 279 292 372 432 438 496 558 584 657 744 837 876 1116 1168 1314 1488 1674 1752 1971 2232 2263 2628 3348 3504 3942 4464 4526 5256 5351 6696 6789 7884 9052 10512 10702 13392 13578 15768 16053 18104 20367 21404 27156 31536 32106 36208 40734 42808 48159 54312 61101 64212 81468 85616 96318 108624 122202 128424 144477 162936 165881 192636 244404 256848 288954 325872 331762 385272 390623 488808 497643 577908 663524 770544 781246 977616 995286 1155816 1171869 1327048 1492929 1562492 1990572 2311632 2343738 2654096 2985858 3124984 3515607 3981144 4478787 4687476 5971716 6249968 7031214 7962288 8957574 9374952 10546821 11943432 12109313 14062428 17915148 18749904 21093642 23886864 24218626 28124856 35830296 36327939 42187284 48437252 56249712 71660592 72655878 84374568 96874504 108983817 145311756 168749136 193749008 217967634 290623512 326951451 435935268 581247024 653902902 871870536 1307805804 1743741072 2615611608 5231223216