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23270180 = 2252953757
BaseRepresentation
bin101100011000…
…1001100100100
31121210020200112
41120301030210
521424121210
62150432152
7401536043
oct130611444
947706615
1023270180
111215425a
127962658
134a89a4b
14313a55a
152099d05
hex1631324

23270180 has 48 divisors (see below), whose sum is σ = 51574320. Its totient is φ = 8805888.

The previous prime is 23270173. The next prime is 23270189. The reversal of 23270180 is 8107232.

It can be written as a sum of positive squares in 8 ways, for example, as 306916 + 22963264 = 554^2 + 4792^2 .

It is not an unprimeable number, because it can be changed into a prime (23270189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30362 + ... + 31118.

It is an arithmetic number, because the mean of its divisors is an integer number (1074465).

Almost surely, 223270180 is an apocalyptic number.

23270180 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 23270180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25787160).

23270180 is an abundant number, since it is smaller than the sum of its proper divisors (28304140).

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

23270180 is a wasteful number, since it uses less digits than its factorization.

23270180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 23270180 is about 4823.9174951485. The cubic root of 23270180 is about 285.4959253009.

The spelling of 23270180 in words is "twenty-three million, two hundred seventy thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 757 1060 1514 1537 3028 3074 3785 6148 7570 7685 15140 15370 21953 30740 40121 43906 80242 87812 109765 160484 200605 219530 401210 439060 802420 1163509 2327018 4654036 5817545 11635090 23270180