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23630148 = 223219179193
BaseRepresentation
bin101101000100…
…1000101000100
31122110112110200
41122021011010
522022131043
62202250500
7404565363
oct132110504
948415420
1023630148
111237a753
127ab6a30
134b84849
1431d17da
15211b7d3
hex1689144

23630148 has 72 divisors (see below), whose sum is σ = 63554400. Its totient is φ = 7382016.

The previous prime is 23630147. The next prime is 23630197. The reversal of 23630148 is 84103632.

It is a happy number.

23630148 is a `hidden beast` number, since 23 + 630 + 1 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (23630147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122340 + ... + 122532.

It is an arithmetic number, because the mean of its divisors is an integer number (882700).

Almost surely, 223630148 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 23630148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31777200).

23630148 is an abundant number, since it is smaller than the sum of its proper divisors (39924252).

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

23630148 is a wasteful number, since it uses less digits than its factorization.

23630148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23630148 is about 4861.0850640572. The cubic root of 23630148 is about 286.9605177429.

The spelling of 23630148 in words is "twenty-three million, six hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 179 193 228 342 358 386 537 579 684 716 772 1074 1158 1611 1737 2148 2316 3222 3401 3474 3667 6444 6802 6948 7334 10203 11001 13604 14668 20406 22002 30609 33003 34547 40812 44004 61218 66006 69094 103641 122436 132012 138188 207282 310923 414564 621846 656393 1243692 1312786 1969179 2625572 3938358 5907537 7876716 11815074 23630148