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229726368 = 253531953
BaseRepresentation
bin11011011000101…
…01100010100000
3121000021022100000
431230111202200
5432302220433
634443500000
75456433114
oct1554254240
9530238300
10229726368
11108746903
1264b27600
1338794881
142271d744
151527c113
hexdb158a0

229726368 has 144 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 74027520.

The previous prime is 229726333. The next prime is 229726379. The reversal of 229726368 is 863627922.

229726368 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 240580 + ... + 241532.

It is an arithmetic number, because the mean of its divisors is an integer number (4861584).

Almost surely, 2229726368 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 229726368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

229726368 is an abundant number, since it is smaller than the sum of its proper divisors (470341728).

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

229726368 is an equidigital number, since it uses as much as digits as its factorization.

229726368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 989 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 229726368 is about 15156.7268234273. The cubic root of 229726368 is about 612.4494967661.

The spelling of 229726368 in words is "two hundred twenty-nine million, seven hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 953 972 992 1116 1296 1488 1674 1906 1944 2232 2511 2592 2859 2976 3348 3812 3888 4464 5022 5718 6696 7533 7624 7776 8577 8928 10044 11436 13392 15066 15248 17154 20088 22872 25731 26784 29543 30132 30496 34308 40176 45744 51462 59086 60264 68616 77193 80352 88629 91488 102924 118172 120528 137232 154386 177258 205848 231579 236344 241056 265887 274464 308772 354516 411696 463158 472688 531774 617544 709032 797661 823392 926316 945376 1063548 1235088 1418064 1595322 1852632 2127096 2392983 2470176 2836128 3190644 3705264 4254192 4785966 6381288 7178949 7410528 8508384 9571932 12762576 14357898 19143864 25525152 28715796 38287728 57431592 76575456 114863184 229726368