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23164380 = 2234579181
BaseRepresentation
bin101100001011…
…1010111011100
31121120212120000
41120113113130
521412230010
62144254300
7400615431
oct130272734
947525500
1023164380
1112091818
127911390
134a50845
14310db88
1520787c0
hex16175dc

23164380 has 120 divisors (see below), whose sum is σ = 73993920. Its totient is φ = 6065280.

The previous prime is 23164333. The next prime is 23164429. The reversal of 23164380 is 8346132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127890 + ... + 128070.

It is an arithmetic number, because the mean of its divisors is an integer number (616616).

Almost surely, 223164380 is an apocalyptic number.

23164380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23164380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996960).

23164380 is an abundant number, since it is smaller than the sum of its proper divisors (50829540).

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

23164380 is a wasteful number, since it uses less digits than its factorization.

23164380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

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

The square root of 23164380 is about 4812.9388111631. The cubic root of 23164380 is about 285.0625901314.

The spelling of 23164380 in words is "twenty-three million, one hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 181 237 270 316 324 362 395 405 474 540 543 711 724 790 810 905 948 1086 1185 1422 1580 1620 1629 1810 2133 2172 2370 2715 2844 3258 3555 3620 4266 4740 4887 5430 6399 6516 7110 8145 8532 9774 10665 10860 12798 14220 14299 14661 16290 19548 21330 24435 25596 28598 29322 31995 32580 42660 42897 48870 57196 58644 63990 71495 73305 85794 97740 127980 128691 142990 146610 171588 214485 257382 285980 293220 386073 428970 514764 643455 772146 857940 1158219 1286910 1544292 1930365 2316438 2573820 3860730 4632876 5791095 7721460 11582190 23164380