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229610808 = 23337181839
BaseRepresentation
bin11011010111110…
…01010100111000
3121000001102211000
431223321110320
5432240021213
634441205000
75455442160
oct1553712470
9530042730
10229610808
11108677aa9
1264a90760
13387540ab
14226cd5a0
1515257c73
hexdaf9538

229610808 has 128 divisors (see below), whose sum is σ = 733824000. Its totient is φ = 65162880.

The previous prime is 229610779. The next prime is 229610819. The reversal of 229610808 is 808016922.

It is a super-2 number, since 2×2296108082 = 105442246300825728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273253 + ... + 274091.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2229610808 is an apocalyptic number.

229610808 is a gapful number since it is divisible by the number (28) 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 229610808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912000).

229610808 is an abundant number, since it is smaller than the sum of its proper divisors (504213192).

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

229610808 is a wasteful number, since it uses less digits than its factorization.

229610808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 229610808 is about 15152.9141751678. The cubic root of 229610808 is about 612.3467853895.

The spelling of 229610808 in words is "two hundred twenty-nine million, six hundred ten thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 181 189 216 252 362 378 504 543 724 756 839 1086 1267 1448 1512 1629 1678 2172 2517 2534 3258 3356 3801 4344 4887 5034 5068 5873 6516 6712 7551 7602 9774 10068 10136 11403 11746 13032 15102 15204 17619 19548 20136 22653 22806 23492 30204 30408 34209 35238 39096 45306 45612 46984 52857 60408 68418 70476 90612 91224 105714 136836 140952 151859 158571 181224 211428 273672 303718 317142 422856 455577 607436 634284 911154 1063013 1214872 1268568 1366731 1822308 2126026 2733462 3189039 3644616 4100193 4252052 5466924 6378078 8200386 8504104 9567117 10933848 12756156 16400772 19134234 25512312 28701351 32801544 38268468 57402702 76536936 114805404 229610808