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229063104 = 26321392861
BaseRepresentation
bin11011010011100…
…11100111000000
3120222000121111200
431221303213000
5432120004404
634421341200
75451001314
oct1551634700
9528017450
10229063104
11108333556
1264867800
13385c19ca
14225c9b44
151519a839
hexda739c0

229063104 has 84 divisors (see below), whose sum is σ = 661522680. Its totient is φ = 75778560.

The previous prime is 229063099. The next prime is 229063207. The reversal of 229063104 is 401360922.

229063104 is a `hidden beast` number, since 2 + 29 + 0 + 631 + 0 + 4 = 666.

229063104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2290631042 = 104939811228229632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78634 + ... + 81494.

It is an arithmetic number, because the mean of its divisors is an integer number (7875270).

Almost surely, 2229063104 is an apocalyptic number.

229063104 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 229063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330761340).

229063104 is an abundant number, since it is smaller than the sum of its proper divisors (432459576).

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

229063104 is a wasteful number, since it uses less digits than its factorization.

229063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 229063104 is about 15134.8308216511. The cubic root of 229063104 is about 611.8595089534.

The spelling of 229063104 in words is "two hundred twenty-nine million, sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 2861 3336 4448 5004 5722 6672 8583 8896 10008 11444 13344 17166 20016 22888 25749 26688 34332 40032 45776 51498 68664 80064 91552 102996 137328 183104 205992 274656 397679 411984 549312 795358 823968 1193037 1590716 1647936 2386074 3181432 3579111 4772148 6362864 7158222 9544296 12725728 14316444 19088592 25451456 28632888 38177184 57265776 76354368 114531552 229063104