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223040320824 = 233172103312203
BaseRepresentation
bin1100111110111000111…
…1010011010100111000
3210022201001201020212010
43033232033103110320
512123241310231244
6250244024045520
722054101306006
oct3175617232470
9708631636763
10223040320824
11866554a0262
12372879038a0
1318056857bc9
14ab1c0a7a76
155c0609aeb9
hex33ee3d3538

223040320824 has 96 divisors (see below), whose sum is σ = 598082958720. Its totient is φ = 69293858304.

The previous prime is 223040320813. The next prime is 223040320859. The reversal of 223040320824 is 428023040322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 223040320791 and 223040320800.

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, 558307 + ... + 870509.

It is an arithmetic number, because the mean of its divisors is an integer number (6230030820).

Almost surely, 2223040320824 is an apocalyptic number.

223040320824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223040320824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299041479360).

223040320824 is an abundant number, since it is smaller than the sum of its proper divisors (375042637896).

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

223040320824 is a wasteful number, since it uses less digits than its factorization.

223040320824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312349 (or 312328 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 223040320824 in words is "two hundred twenty-three billion, forty million, three hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 289 309 408 412 578 618 824 867 1156 1236 1734 1751 2312 2472 3468 3502 5253 6936 7004 10506 14008 21012 29767 42024 59534 89301 119068 178602 238136 312203 357204 624406 714408 936609 1248812 1873218 2497624 3746436 5307451 7492872 10614902 15922353 21229804 31844706 32156909 42459608 63689412 64313818 90226667 96470727 127378824 128627636 180453334 192941454 257255272 270680001 360906668 385882908 541360002 546667453 721813336 771765816 1082720004 1093334906 1640002359 2165440008 2186669812 3280004718 4373339624 6560009436 9293346701 13120018872 18586693402 27880040103 37173386804 55760080206 74346773608 111520160412 223040320824