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23334064400 = 2452251232411
BaseRepresentation
bin10101101110110100…
…011001000100010000
32020020012011021210102
4111232310121010100
5340242010030100
614415225551532
71454145163163
oct255664310420
966205137712
1023334064400
11999451aa49
1246326455a8
13227b355bca
1411b500bada
159187ebcd5
hex56ed19110

23334064400 has 60 divisors (see below), whose sum is σ = 56283678864. Its totient is φ = 9296400000.

The previous prime is 23334064363. The next prime is 23334064409. The reversal of 23334064400 is 446043332.

It is a super-2 number, since 2×233340644002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23334064409) 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, 15806 + ... + 216605.

Almost surely, 223334064400 is an apocalyptic number.

23334064400 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 23334064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28141839432).

23334064400 is an abundant number, since it is smaller than the sum of its proper divisors (32949614464).

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

23334064400 is a wasteful number, since it uses less digits than its factorization.

23334064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232680 (or 232669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

The spelling of 23334064400 in words is "twenty-three billion, three hundred thirty-four million, sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 400 502 1004 1255 2008 2510 4016 5020 6275 10040 12550 20080 25100 50200 100400 232411 464822 929644 1162055 1859288 2324110 3718576 4648220 5810275 9296440 11620550 18592880 23241100 46482200 58335161 92964400 116670322 233340644 291675805 466681288 583351610 933362576 1166703220 1458379025 2333406440 2916758050 4666812880 5833516100 11667032200 23334064400