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23155380 = 22325197653
BaseRepresentation
bin101100001010…
…1001010110100
31121120102012200
41120111022310
521411433010
62144144500
7400550253
oct130251264
947512180
1023155380
1112085a86
127908130
134a49711
14310a79a
152075cc0
hex16152b4

23155380 has 72 divisors (see below), whose sum is σ = 70702632. Its totient is φ = 6134016.

The previous prime is 23155373. The next prime is 23155463. The reversal of 23155380 is 8355132.

23155380 is a `hidden beast` number, since 2 + 31 + 553 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 17791524 = 2316^2 + 4218^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35134 + ... + 35786.

It is an arithmetic number, because the mean of its divisors is an integer number (981981).

Almost surely, 223155380 is an apocalyptic number.

23155380 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 23155380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35351316).

23155380 is an abundant number, since it is smaller than the sum of its proper divisors (47547252).

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

23155380 is a wasteful number, since it uses less digits than its factorization.

23155380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 23155380 is about 4812.0037406469. The cubic root of 23155380 is about 285.0256671251.

It can be divided in two parts, 231 and 55380, that added together give a triangular number (55611 = T333).

The spelling of 23155380 in words is "twenty-three million, one hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 653 788 985 1182 1306 1773 1959 1970 2364 2612 2955 3265 3546 3918 3940 5877 5910 6530 7092 7836 8865 9795 11754 11820 13060 17730 19590 23508 29385 35460 39180 58770 117540 128641 257282 385923 514564 643205 771846 1157769 1286410 1543692 1929615 2315538 2572820 3859230 4631076 5788845 7718460 11577690 23155380