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134228192 = 25717101349
BaseRepresentation
bin10000000000000…
…10100011100000
3100100120111110112
420000002203200
5233330300232
621152550452
73216630560
oct1000024340
9310514415
10134228192
116984a69a
1238b52428
1321a69187
1413b80da0
15bbb64b2
hex80028e0

134228192 has 96 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 53452800.

The previous prime is 134228177. The next prime is 134228291. The reversal of 134228192 is 291822431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384434 + ... + 384782.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2134228192 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 134228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

134228192 is an abundant number, since it is smaller than the sum of its proper divisors (189642208).

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

134228192 is a wasteful number, since it uses less digits than its factorization.

134228192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 134228192 is about 11585.6891033723. The cubic root of 134228192 is about 512.0133053183.

The spelling of 134228192 in words is "one hundred thirty-four million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 101 112 119 136 202 224 238 272 349 404 476 544 698 707 808 952 1396 1414 1616 1717 1904 2443 2792 2828 3232 3434 3808 4886 5584 5656 5933 6868 9772 11168 11312 11866 12019 13736 19544 22624 23732 24038 27472 35249 39088 41531 47464 48076 54944 70498 78176 83062 94928 96152 140996 166124 189856 192304 246743 281992 332248 384608 493486 563984 599233 664496 986972 1127968 1198466 1328992 1973944 2396932 3947888 4194631 4793864 7895776 8389262 9587728 16778524 19175456 33557048 67114096 134228192