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10022712240 = 243567623303
BaseRepresentation
bin10010101010110011…
…00111001110110000
3221212111111112110110
421111121213032300
5131011303242430
64334313301320
7503241435252
oct112531471660
927774445413
1010022712240
114283618062
121b38704840
13c39610278
146b1195cd2
153d9d977b0
hex2556673b0

10022712240 has 80 divisors (see below), whose sum is σ = 31534195968. Its totient is φ = 2632827648.

The previous prime is 10022712239. The next prime is 10022712241. The reversal of 10022712240 is 4221722001.

10022712240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022712239) and next prime (10022712241).

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

It is not an unprimeable number, because it can be changed into a prime (10022712241) by changing a digit.

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, 295572 + ... + 327731.

Almost surely, 210022712240 is an apocalyptic number.

10022712240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022712240 is an abundant number, since it is smaller than the sum of its proper divisors (21511483728).

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

10022712240 is a wasteful number, since it uses less digits than its factorization.

10022712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623386 (or 623380 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 10022712240 in words is "ten billion, twenty-two million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 623303 1246606 1869909 2493212 3116515 3739818 4986424 6233030 7479636 9349545 9972848 12466060 14959272 18699090 24932120 29918544 37398180 41761301 49864240 74796360 83522602 125283903 149592720 167045204 208806505 250567806 334090408 417613010 501135612 626419515 668180816 835226020 1002271224 1252839030 1670452040 2004542448 2505678060 3340904080 5011356120 10022712240