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23202131000 = 2353149155719
BaseRepresentation
bin10101100110111101…
…000110110000111000
32012212222220101012012
4111212331012300320
5340004221143000
614354154105052
71450653600536
oct254675066070
965788811165
1023202131000
119926aa8484
1245b641b188
132259c113c9
1411a16a7156
1590be3a735
hex566f46c38

23202131000 has 64 divisors (see below), whose sum is σ = 54657720000. Its totient is φ = 9218505600.

The previous prime is 23202130981. The next prime is 23202131033. The reversal of 23202131000 is 13120232.

It is a happy number.

It is a super-2 number, since 2×232021310002 (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, 71141 + ... + 226859.

It is an arithmetic number, because the mean of its divisors is an integer number (854026875).

Almost surely, 223202131000 is an apocalyptic number.

23202131000 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 23202131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328860000).

23202131000 is an abundant number, since it is smaller than the sum of its proper divisors (31455589000).

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

23202131000 is a wasteful number, since it uses less digits than its factorization.

23202131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155889 (or 155875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23202131000 its reverse (13120232), we get a palindrome (23215251232).

The spelling of 23202131000 in words is "twenty-three billion, two hundred two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18625 29800 37250 74500 149000 155719 311438 622876 778595 1245752 1557190 3114380 3892975 6228760 7785950 15571900 19464875 23202131 31143800 38929750 46404262 77859500 92808524 116010655 155719000 185617048 232021310 464042620 580053275 928085240 1160106550 2320213100 2900266375 4640426200 5800532750 11601065500 23202131000