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23232900 = 22352431801
BaseRepresentation
bin101100010100…
…0000110000100
31121201100112210
41120220012010
521421423100
62145543420
7401322255
oct130500604
947640483
1023232900
1112129249
127944b70
134a75aa2
14312ab2c
15208dc50
hex1628184

23232900 has 72 divisors (see below), whose sum is σ = 68821984. Its totient is φ = 6048000.

The previous prime is 23232893. The next prime is 23232901. The reversal of 23232900 is 923232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232901) 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, 12000 + ... + 13800.

Almost surely, 223232900 is an apocalyptic number.

23232900 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 23232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410992).

23232900 is an abundant number, since it is smaller than the sum of its proper divisors (45589084).

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

23232900 is a wasteful number, since it uses less digits than its factorization.

23232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 23232900 is about 4820.0518669409. The cubic root of 23232900 is about 285.3433841968.

The spelling of 23232900 in words is "twenty-three million, two hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 1801 2150 2580 3225 3602 4300 5403 6450 7204 9005 10806 12900 18010 21612 27015 36020 45025 54030 77443 90050 108060 135075 154886 180100 232329 270150 309772 387215 464658 540300 774430 929316 1161645 1548860 1936075 2323290 3872150 4646580 5808225 7744300 11616450 23232900