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468220932 = 223359197373
BaseRepresentation
bin11011111010000…
…111110000000100
31012122001002101000
4123322013300010
51424331032212
6114243333300
714413545414
oct3372076004
91178032330
10468220932
11220331353
12110981230
137600940a
1446282644
152b18c1dc
hex1be87c04

468220932 has 96 divisors (see below), whose sum is σ = 1244073600. Its totient is φ = 152240256.

The previous prime is 468220871. The next prime is 468220997. The reversal of 468220932 is 239022864.

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

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, 1255098 + ... + 1255470.

It is an arithmetic number, because the mean of its divisors is an integer number (12959100).

Almost surely, 2468220932 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 468220932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

468220932 is an abundant number, since it is smaller than the sum of its proper divisors (775852668).

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

468220932 is a wasteful number, since it uses less digits than its factorization.

468220932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 468220932 is about 21638.4133429418. The cubic root of 468220932 is about 776.5157609475.

The spelling of 468220932 in words is "four hundred sixty-eight million, two hundred twenty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 197 236 354 373 394 531 591 708 746 788 1062 1119 1182 1492 1593 1773 2124 2238 2364 3186 3357 3546 4476 5319 6372 6714 7092 10071 10638 11623 13428 20142 21276 22007 23246 34869 40284 44014 46492 66021 69738 73481 88028 104607 132042 139476 146962 198063 209214 220443 264084 293924 313821 396126 418428 440886 594189 627642 661329 792252 881772 1188378 1255284 1322658 1983987 2376756 2645316 3967974 4335379 7935948 8670758 13006137 17341516 26012274 39018411 52024548 78036822 117055233 156073644 234110466 468220932