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223114920 = 23357265613
BaseRepresentation
bin11010100110001…
…11011010101000
3120112211102010120
431103013122220
5424104134140
634050043240
75346305550
oct1523073250
9515742116
10223114920
11104a405a6
1262879520
13372bb482
14218bc160
15148c31d0
hexd4c76a8

223114920 has 64 divisors (see below), whose sum is σ = 764968320. Its totient is φ = 50997504.

The previous prime is 223114897. The next prime is 223114933. The reversal of 223114920 is 29411322.

223114920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231149203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 131967 + ... + 133646.

It is an arithmetic number, because the mean of its divisors is an integer number (11952630).

Almost surely, 2223114920 is an apocalyptic number.

223114920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223114920 is an abundant number, since it is smaller than the sum of its proper divisors (541853400).

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

223114920 is a wasteful number, since it uses less digits than its factorization.

223114920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265634 (or 265630 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 223114920 is about 14937.0318336676. The cubic root of 223114920 is about 606.5168503920.

The spelling of 223114920 in words is "two hundred twenty-three million, one hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 265613 531226 796839 1062452 1328065 1593678 1859291 2124904 2656130 3187356 3718582 3984195 5312260 5577873 6374712 7437164 7968390 9296455 10624520 11155746 14874328 15936780 18592910 22311492 27889365 31873560 37185820 44622984 55778730 74371640 111557460 223114920