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229804932 = 22372923253
BaseRepresentation
bin11011011001010…
…00101110000100
3121000102022002210
431230220232010
5432312224212
634445303420
75460211140
oct1554505604
9530368083
10229804932
1110879a935
1264b64b70
13387c1566
1422740220
151529553c
hexdb28b84

229804932 has 72 divisors (see below), whose sum is σ = 634868416. Its totient is φ = 63374976.

The previous prime is 229804901. The next prime is 229804933. The reversal of 229804932 is 239408922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (229804933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69018 + ... + 72270.

Almost surely, 2229804932 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 229804932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317434208).

229804932 is an abundant number, since it is smaller than the sum of its proper divisors (405063484).

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

229804932 is a wasteful number, since it uses less digits than its factorization.

229804932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 229804932 is about 15159.3183224049. The cubic root of 229804932 is about 612.5193059027.

The spelling of 229804932 in words is "two hundred twenty-nine million, eight hundred four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 841 1218 1682 2436 2523 3253 3364 5046 5887 6506 9759 10092 11774 13012 17661 19518 22771 23548 35322 39036 45542 68313 70644 91084 94337 136626 188674 273252 283011 377348 566022 660359 1132044 1320718 1981077 2641436 2735773 3962154 5471546 7924308 8207319 10943092 16414638 19150411 32829276 38300822 57451233 76601644 114902466 229804932