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21232304400 = 2435281121817
BaseRepresentation
bin10011110001100010…
…110100000100010000
32000210201022211002110
4103301202310010100
5321440432220100
613430505545320
71351104416046
oct236142640420
960721284073
1021232304400
11900609a60a
1241467a5240
132004a9cc38
141055c24396
15844038250
hex4f18b4110

21232304400 has 120 divisors (see below), whose sum is σ = 68101134304. Its totient is φ = 5654707200.

The previous prime is 21232304399. The next prime is 21232304437. The reversal of 21232304400 is 440323212.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962292 + ... + 984108.

Almost surely, 221232304400 is an apocalyptic number.

21232304400 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 21232304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34050567152).

21232304400 is an abundant number, since it is smaller than the sum of its proper divisors (46868829904).

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

21232304400 is a wasteful number, since it uses less digits than its factorization.

21232304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22649 (or 22638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 21232304400 its reverse (440323212), we get a palindrome (21672627612).

The spelling of 21232304400 in words is "twenty-one billion, two hundred thirty-two million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 811 1200 1622 2433 3244 4055 4866 6488 8110 9732 12165 12976 16220 19464 20275 21817 24330 32440 38928 40550 43634 48660 60825 64880 65451 81100 87268 97320 109085 121650 130902 162200 174536 194640 218170 243300 261804 324400 327255 349072 436340 486600 523608 545425 654510 872680 973200 1047216 1090850 1309020 1636275 1745360 2181700 2618040 3272550 4363400 5236080 6545100 8726800 13090200 17693587 26180400 35387174 53080761 70774348 88467935 106161522 141548696 176935870 212323044 265403805 283097392 353871740 424646088 442339675 530807610 707743480 849292176 884679350 1061615220 1327019025 1415486960 1769358700 2123230440 2654038050 3538717400 4246460880 5308076100 7077434800 10616152200 21232304400