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22425333012 = 223217215713729
BaseRepresentation
bin10100111000101001…
…110110110100010100
32010212212012221200100
4110320221312310110
5331411341124022
614145124414100
71422502120425
oct247051666424
963785187610
1022425333012
119568574675
12441a247330
132164cc3224
14112a45b64c
158b3b481ac
hex538a76d14

22425333012 has 108 divisors (see below), whose sum is σ = 60604851580. Its totient is φ = 6990077952.

The previous prime is 22425333011. The next prime is 22425333013. The reversal of 22425333012 is 21033352422.

It is an interprime number because it is at equal distance from previous prime (22425333011) and next prime (22425333013).

It can be written as a sum of positive squares in 6 ways, for example, as 330294276 + 22095038736 = 18174^2 + 148644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22425333011) 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 35 ways as a sum of consecutive naturals, for example, 1626564 + ... + 1640292.

Almost surely, 222425333012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22425333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30302425790).

22425333012 is an abundant number, since it is smaller than the sum of its proper divisors (38179518568).

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

22425333012 is a wasteful number, since it uses less digits than its factorization.

22425333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22425333012 its reverse (21033352422), we get a palindrome (43458685434).

The spelling of 22425333012 in words is "twenty-two billion, four hundred twenty-five million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 289 306 314 471 578 612 628 867 942 1156 1413 1734 1884 2601 2669 2826 3468 5202 5338 5652 8007 10404 10676 13729 16014 24021 27458 32028 41187 45373 48042 54916 82374 90746 96084 123561 136119 164748 181492 233393 247122 272238 408357 466786 494244 544476 700179 816714 933572 1400358 1633428 2100537 2155453 2800716 3967681 4201074 4310906 6466359 7935362 8402148 8621812 11903043 12932718 15870724 19399077 23806086 25865436 35709129 36642701 38798154 47612172 71418258 73285402 77596308 109928103 142836516 146570804 219856206 329784309 439712412 622925917 659568618 1245851834 1319137236 1868777751 2491703668 3737555502 5606333253 7475111004 11212666506 22425333012