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229697856 = 263459751
BaseRepresentation
bin11011011000011…
…10100101000000
3121000012212020000
431230032211000
5432300312411
634443120000
75456254023
oct1554164500
9530185200
10229697856
11108727443
1264b13000
13387848bb
14227131ba
1515273956
hexdb0e940

229697856 has 140 divisors (see below), whose sum is σ = 693359040. Its totient is φ = 75168000.

The previous prime is 229697837. The next prime is 229697857. The reversal of 229697856 is 658796922.

It is a super-2 number, since 2×2296978562 = 105522210101993472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229697857) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 305481 + ... + 306231.

Almost surely, 2229697856 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 229697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346679520).

229697856 is an abundant number, since it is smaller than the sum of its proper divisors (463661184).

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

229697856 is an equidigital number, since it uses as much as digits as its factorization.

229697856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 815 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 229697856 is about 15155.7862217702. The cubic root of 229697856 is about 612.4241580951.

The spelling of 229697856 in words is "two hundred twenty-nine million, six hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 144 162 177 192 216 236 288 324 354 432 472 531 576 648 708 751 864 944 1062 1296 1416 1502 1593 1728 1888 2124 2253 2592 2832 3004 3186 3776 4248 4506 4779 5184 5664 6008 6372 6759 8496 9012 9558 11328 12016 12744 13518 16992 18024 19116 20277 24032 25488 27036 33984 36048 38232 40554 44309 48064 50976 54072 60831 72096 76464 81108 88618 101952 108144 121662 132927 144192 152928 162216 177236 216288 243324 265854 305856 324432 354472 398781 432576 486648 531708 648864 708944 797562 973296 1063416 1196343 1297728 1417888 1595124 1946592 2126832 2392686 2835776 3190248 3589029 3893184 4253664 4785372 6380496 7178058 8507328 9570744 12760992 14356116 19141488 25521984 28712232 38282976 57424464 76565952 114848928 229697856