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23232100 = 2252474943
BaseRepresentation
bin101100010011…
…1111001100100
31121201022110011
41120213321210
521421411400
62145540004
7401320033
oct130477144
947638404
1023232100
1112128691
127944604
134a75608
14312a71a
15208d8ba
hex1627e64

23232100 has 36 divisors (see below), whose sum is σ = 51496704. Its totient is φ = 9093280.

The previous prime is 23232091. The next prime is 23232101. The reversal of 23232100 is 123232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2229 + ... + 7171.

It is an arithmetic number, because the mean of its divisors is an integer number (1430464).

Almost surely, 223232100 is an apocalyptic number.

23232100 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 23232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25748352).

23232100 is an abundant number, since it is smaller than the sum of its proper divisors (28264604).

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

23232100 is a wasteful number, since it uses less digits than its factorization.

23232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23232100 is about 4819.9688795676. The cubic root of 23232100 is about 285.3401089947.

Adding to 23232100 its reverse (123232), we get a palindrome (23355332).

It can be divided in two parts, 23232 and 100, that added together give a palindrome (23332).

The spelling of 23232100 in words is "twenty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 4943 9886 19772 24715 49430 98860 123575 232321 247150 464642 494300 929284 1161605 2323210 4646420 5808025 11616050 23232100