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23042333000 = 235353434761
BaseRepresentation
bin10101011101011011…
…100001100101001000
32012110212012210112202
4111131123201211020
5334142314124000
614330245055332
71444003412261
oct253533414510
965425183482
1023042333000
119854883915
1245709b7548
132232a9188b
14118838b968
158ecdc2dd5
hex55d6e1948

23042333000 has 64 divisors (see below), whose sum is σ = 54936526320. Its totient is φ = 9043008000.

The previous prime is 23042332997. The next prime is 23042333021. The reversal of 23042333000 is 33324032.

It can be written as a sum of positive squares in 8 ways, for example, as 311946244 + 22730386756 = 17662^2 + 150766^2 .

It is a super-2 number, since 2×230423330002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164381 + ... + 270380.

Almost surely, 223042333000 is an apocalyptic number.

23042333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23042333000 is an abundant number, since it is smaller than the sum of its proper divisors (31894193320).

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

23042333000 is a wasteful number, since it uses less digits than its factorization.

23042333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434835 (or 434821 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23042333000 its reverse (33324032), we get a palindrome (23075657032).

The spelling of 23042333000 in words is "twenty-three billion, forty-two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 434761 869522 1739044 2173805 3478088 4347610 8695220 10869025 17390440 21738050 23042333 43476100 46084666 54345125 86952200 92169332 108690250 115211665 184338664 217380500 230423330 434761000 460846660 576058325 921693320 1152116650 2304233300 2880291625 4608466600 5760583250 11521166500 23042333000