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229518972 = 2232171272953
BaseRepresentation
bin11011010111000…
…10111001111100
3120222212202211200
431223202321330
5432224101342
634435215500
75454610344
oct1553427174
9528782750
10229518972
11108615001
1264a47590
1338721357
14226a7d24
151523a94c
hexdae2e7c

229518972 has 72 divisors (see below), whose sum is σ = 619347456. Its totient is φ = 71414784.

The previous prime is 229518967. The next prime is 229519007. The reversal of 229518972 is 279815922.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76248 + ... + 79200.

It is an arithmetic number, because the mean of its divisors is an integer number (8602048).

Almost surely, 2229518972 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 229518972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309673728).

229518972 is an abundant number, since it is smaller than the sum of its proper divisors (389828484).

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

229518972 is a wasteful number, since it uses less digits than its factorization.

229518972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3102 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 229518972 is about 15149.8835639090. The cubic root of 229518972 is about 612.2651356638.

The spelling of 229518972 in words is "two hundred twenty-nine million, five hundred eighteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 127 153 204 254 306 381 508 612 762 1143 1524 2159 2286 2953 4318 4572 5906 6477 8636 8859 11812 12954 17718 19431 25908 26577 35436 38862 50201 53154 77724 100402 106308 150603 200804 301206 375031 451809 602412 750062 903618 1125093 1500124 1807236 2250186 3375279 4500372 6375527 6750558 12751054 13501116 19126581 25502108 38253162 57379743 76506324 114759486 229518972