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21221142400 = 27526631607
BaseRepresentation
bin10011110000111000…
…001110111110000000
32000202221022201201001
4103300320032332000
5321430103024100
613425430421344
71350610506553
oct236070167600
960687281631
1021221142400
118aaa866417
124142b01854
1320026924c3
14105455a69a
15843080d6a
hex4f0e0ef80

21221142400 has 48 divisors (see below), whose sum is σ = 52422861240. Its totient is φ = 8488455680.

The previous prime is 21221142379. The next prime is 21221142419. The reversal of 21221142400 is 424112212.

It is a super-2 number, since 2×212211424002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3312604 + ... + 3319003.

Almost surely, 221221142400 is an apocalyptic number.

21221142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221142400 is an abundant number, since it is smaller than the sum of its proper divisors (31201718840).

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

21221142400 is an equidigital number, since it uses as much as digits as its factorization.

21221142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631631 (or 6631614 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21221142400 its reverse (424112212), we get a palindrome (21645254612).

The spelling of 21221142400 in words is "twenty-one billion, two hundred twenty-one million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 6631607 13263214 26526428 33158035 53052856 66316070 106105712 132632140 165790175 212211424 265264280 331580350 424422848 530528560 663160700 848845696 1061057120 1326321400 2122114240 2652642800 4244228480 5305285600 10610571200 21221142400