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23320180 = 22513257349
BaseRepresentation
bin101100011110…
…1011001110100
31121212210021101
41120331121310
521432221210
62151455444
7402134602
oct130753164
947783241
1023320180
1112188884
127987584
134aa6730
143150872
1520a9a3a
hex163d674

23320180 has 48 divisors (see below), whose sum is σ = 53096400. Its totient is φ = 8552448.

The previous prime is 23320151. The next prime is 23320181. The reversal of 23320180 is 8102332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 22524516 = 892^2 + 4746^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320181) 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, 66646 + ... + 66994.

It is an arithmetic number, because the mean of its divisors is an integer number (1106175).

Almost surely, 223320180 is an apocalyptic number.

23320180 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 23320180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26548200).

23320180 is an abundant number, since it is smaller than the sum of its proper divisors (29776220).

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

23320180 is a wasteful number, since it uses less digits than its factorization.

23320180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 23320180 is about 4829.0972241196. The cubic root of 23320180 is about 285.7002581208.

The spelling of 23320180 in words is "twenty-three million, three hundred twenty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 349 514 698 1028 1285 1396 1745 2570 3341 3490 4537 5140 6682 6980 9074 13364 16705 18148 22685 33410 45370 66820 89693 90740 179386 358772 448465 896930 1166009 1793860 2332018 4664036 5830045 11660090 23320180