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229549500252 = 223289173414131
BaseRepresentation
bin1101010111001000110…
…1110110011101011100
3210221111200212211101200
43111302031312131130
512230104133002002
6253241550235500
722404310362342
oct3256215663534
9727450784350
10229549500252
1189395788096
12385a37b5b90
1318853270c77
14b17877b992
155e87761b1c
hex357237675c

229549500252 has 72 divisors (see below), whose sum is σ = 590162947920. Its totient is φ = 75219260160.

The previous prime is 229549500241. The next prime is 229549500281. The reversal of 229549500252 is 252005945922.

229549500252 is a `hidden beast` number, since 2 + 2 + 9 + 549 + 50 + 0 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 229549500198 and 229549500207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347227 + ... + 761357.

It is an arithmetic number, because the mean of its divisors is an integer number (8196707610).

Almost surely, 2229549500252 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 229549500252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295081473960).

229549500252 is an abundant number, since it is smaller than the sum of its proper divisors (360613447668).

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

229549500252 is a wasteful number, since it uses less digits than its factorization.

229549500252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414403 (or 414398 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 229549500252 in words is "two hundred twenty-nine billion, five hundred forty-nine million, five hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 173 178 267 346 356 519 534 692 801 1038 1068 1557 1602 2076 3114 3204 6228 15397 30794 46191 61588 92382 138573 184764 277146 414131 554292 828262 1242393 1656524 2484786 3727179 4969572 7454358 14908716 36857659 71644663 73715318 110572977 143289326 147430636 214933989 221145954 286578652 331718931 429867978 442291908 644801967 663437862 859735956 1289603934 1326875724 2579207868 6376375007 12752750014 19129125021 25505500028 38258250042 57387375063 76516500084 114774750126 229549500252