Search a number
-
+
23212230100 = 22521713654253
BaseRepresentation
bin10101100111100011…
…101000010111010100
32012220200220110112221
4111213203220113110
5340014312330400
614355154352124
71451135462143
oct254743502724
965820813487
1023212230100
119931776044
1245b988b644
13225c0390c7
1411a2b7575a
1590cc82c1a
hex5678e85d4

23212230100 has 36 divisors (see below), whose sum is σ = 53333516124. Its totient is φ = 8738721280.

The previous prime is 23212230047. The next prime is 23212230103. The reversal of 23212230100 is 103221232.

It can be written as a sum of positive squares in 6 ways, for example, as 5363856 + 23206866244 = 2316^2 + 152338^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212230103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6825427 + ... + 6828826.

It is an arithmetic number, because the mean of its divisors is an integer number (1481486559).

Almost surely, 223212230100 is an apocalyptic number.

23212230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212230100 is an abundant number, since it is smaller than the sum of its proper divisors (30121286024).

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

23212230100 is a wasteful number, since it uses less digits than its factorization.

23212230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654284 (or 13654277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23212230100 its reverse (103221232), we get a palindrome (23315451332).

The spelling of 23212230100 in words is "twenty-three billion, two hundred twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13654253 27308506 54617012 68271265 136542530 232122301 273085060 341356325 464244602 682712650 928489204 1160611505 1365425300 2321223010 4642446020 5803057525 11606115050 23212230100