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21222142400 = 265231142649
BaseRepresentation
bin10011110000111100…
…000011000111000000
32000210000012112110002
4103300330003013000
5321430332024100
613425504055132
71350622143164
oct236074030700
960700175402
1021222142400
119000389768
1241433044a8
132002952714
14105473aca4
158431cc2d5
hex4f0f031c0

21222142400 has 84 divisors (see below), whose sum is σ = 52388871600. Its totient is φ = 8461363200.

The previous prime is 21222142387. The next prime is 21222142427. The reversal of 21222142400 is 424122212.

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

It is a congruent number.

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, 476276 + ... + 518924.

Almost surely, 221222142400 is an apocalyptic number.

21222142400 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 21222142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26194435800).

21222142400 is an abundant number, since it is smaller than the sum of its proper divisors (31166729200).

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

21222142400 is a wasteful number, since it uses less digits than its factorization.

21222142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42982 (or 42967 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21222142400 its reverse (424122212), we get a palindrome (21646264612).

The spelling of 21222142400 in words is "twenty-one billion, two hundred twenty-two million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 311 320 400 622 800 1244 1555 1600 2488 3110 4976 6220 7775 9952 12440 15550 19904 24880 31100 42649 49760 62200 85298 99520 124400 170596 213245 248800 341192 426490 497600 682384 852980 1066225 1364768 1705960 2132450 2729536 3411920 4264900 6823840 8529800 13263839 13647680 17059600 26527678 34119200 53055356 66319195 68238400 106110712 132638390 212221424 265276780 331595975 424442848 530553560 663191950 848885696 1061107120 1326383900 2122214240 2652767800 4244428480 5305535600 10611071200 21222142400