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229149864 = 23335917981
BaseRepresentation
bin11011010100010…
…00110010101000
3120222012000112000
431222020302220
5432130243424
634423251000
75451512256
oct1552106250
9528160460
10229149864
11108392759
12648a9a60
1338622348
142260d5d6
15151b63c9
hexda88ca8

229149864 has 64 divisors (see below), whose sum is σ = 647352000. Its totient is φ = 75084480.

The previous prime is 229149857. The next prime is 229149871. The reversal of 229149864 is 468941922.

It is an interprime number because it is at equal distance from previous prime (229149857) and next prime (229149871).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 3754 + ... + 21734.

It is an arithmetic number, because the mean of its divisors is an integer number (10114875).

Almost surely, 2229149864 is an apocalyptic number.

229149864 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 229149864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323676000).

229149864 is an abundant number, since it is smaller than the sum of its proper divisors (418202136).

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

229149864 is a wasteful number, since it uses less digits than its factorization.

229149864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18055 (or 18045 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 229149864 is about 15137.6967864996. The cubic root of 229149864 is about 611.9367485573.

The spelling of 229149864 in words is "two hundred twenty-nine million, one hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744 17981 35962 53943 71924 107886 143848 161829 215772 323658 431544 485487 647316 970974 1060879 1294632 1941948 2121758 3182637 3883896 4243516 6365274 8487032 9547911 12730548 19095822 25461096 28643733 38191644 57287466 76383288 114574932 229149864