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21314230400 = 275219350563
BaseRepresentation
bin10011110110011011…
…010101100010000000
32001000102111002102202
4103312123111202000
5322122420333100
613442553532332
71353120653261
oct236633254200
961012432382
1021314230400
119048366851
12416a1140a8
132018a55b68
141062a6c968
1584b31c7d5
hex4f66d5880

21314230400 has 96 divisors (see below), whose sum is σ = 55424168400. Its totient is φ = 8076948480.

The previous prime is 21314230391. The next prime is 21314230417. The reversal of 21314230400 is 403241312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114482 + ... + 236081.

Almost surely, 221314230400 is an apocalyptic number.

21314230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314230400 is an abundant number, since it is smaller than the sum of its proper divisors (34109938000).

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

21314230400 is a wasteful number, since it uses less digits than its factorization.

21314230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350606 (or 350589 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21314230400 its reverse (403241312), we get a palindrome (21717471712).

The spelling of 21314230400 in words is "twenty-one billion, three hundred fourteen million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 950 1216 1520 1600 1900 2432 3040 3200 3800 6080 7600 12160 15200 30400 60800 350563 701126 1402252 1752815 2804504 3505630 5609008 6660697 7011260 8764075 11218016 13321394 14022520 17528150 22436032 26642788 28045040 33303485 35056300 44872064 53285576 56090080 66606970 70112600 106571152 112180160 133213940 140225200 166517425 213142304 224360320 266427880 280450400 333034850 426284608 532855760 560900800 666069700 852569216 1065711520 1121801600 1332139400 2131423040 2664278800 4262846080 5328557600 10657115200 21314230400