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21222100240 = 2451129831587
BaseRepresentation
bin10011110000111011…
…111000110100010000
32000210000010101121121
4103300323320310100
5321430324201430
613425503132024
71350621606235
oct236073706420
960700111547
1021222100240
119000360020
1241432a4014
132002939483
14105472978c
158431bea7a
hex4f0ef8d10

21222100240 has 80 divisors (see below), whose sum is σ = 55683132480. Its totient is φ = 7451010560.

The previous prime is 21222100223. The next prime is 21222100267. The reversal of 21222100240 is 4200122212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390274 + ... + 441313.

It is an arithmetic number, because the mean of its divisors is an integer number (696039156).

Almost surely, 221222100240 is an apocalyptic number.

21222100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222100240 is an abundant number, since it is smaller than the sum of its proper divisors (34461032240).

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

21222100240 is a wasteful number, since it uses less digits than its factorization.

21222100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831640 (or 831634 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21222100240 its reverse (4200122212), we get a palindrome (25422222452).

The spelling of 21222100240 in words is "twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 831587 1663174 3326348 4157935 6652696 8315870 9147457 13305392 16631740 18294914 24116023 33263480 36589828 45737285 48232046 66526960 73179656 91474570 96464092 120580115 146359312 182949140 192928184 241160230 265276253 365898280 385856368 482320460 530552506 731796560 964640920 1061105012 1326381265 1929281840 2122210024 2652762530 4244420048 5305525060 10611050120 21222100240