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23210402000 = 245357720113
BaseRepresentation
bin10101100111011100…
…101010000011010000
32012220120110120212112
4111213130222003100
5340013330331000
614355051244452
71451114106332
oct254734520320
965816416775
1023210402000
119930737615
1245b9149728
13225b848ca6
1411a281b452
1590ca21235
hex56772a0d0

23210402000 has 80 divisors (see below), whose sum is σ = 56222813712. Its totient is φ = 9267609600.

The previous prime is 23210401993. The next prime is 23210402011. The reversal of 23210402000 is 20401232.

It can be written as a sum of positive squares in 8 ways, for example, as 5774784064 + 17435617936 = 75992^2 + 132044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×232104020002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143944 + ... + 1164056.

Almost surely, 223210402000 is an apocalyptic number.

23210402000 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 23210402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111406856).

23210402000 is an abundant number, since it is smaller than the sum of its proper divisors (33012411712).

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

23210402000 is a wasteful number, since it uses less digits than its factorization.

23210402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20713 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 23210402000 its reverse (20401232), we get a palindrome (23230803232).

The spelling of 23210402000 in words is "twenty-three billion, two hundred ten million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 577 1000 1154 2000 2308 2885 4616 5770 9232 11540 14425 20113 23080 28850 40226 46160 57700 72125 80452 100565 115400 144250 160904 201130 230800 288500 321808 402260 502825 577000 804520 1005650 1154000 1609040 2011300 2514125 4022600 5028250 8045200 10056500 11605201 20113000 23210402 40226000 46420804 58026005 92841608 116052010 185683216 232104020 290130025 464208040 580260050 928416080 1160520100 1450650125 2321040200 2901300250 4642080400 5802600500 11605201000 23210402000