Search a number
-
+
22425121400022 = 23211718211942979
BaseRepresentation
bin1010001100101010000010…
…11001010010010011010110
32221101211011021020001221200
411012111001121102103112
510414403122034300042
6115405543014053330
74503106261554165
oct506250131222326
987354137201850
1022425121400022
117166493454940
12262217b94a246
13c688ab8b6b83
1457754b4193dc
1528d4dee0ec4c
hex1465416524d6

22425121400022 has 96 divisors (see below), whose sum is σ = 53816877653760. Its totient is φ = 6691616232000.

The previous prime is 22425121399981. The next prime is 22425121400039. The reversal of 22425121400022 is 22000412152422.

22425121400022 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 512 + 140 + 0 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10570129 + ... + 12513107.

It is an arithmetic number, because the mean of its divisors is an integer number (560592475560).

Almost surely, 222425121400022 is an apocalyptic number.

22425121400022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22425121400022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908438826880).

22425121400022 is an abundant number, since it is smaller than the sum of its proper divisors (31391756253738).

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

22425121400022 is a wasteful number, since it uses less digits than its factorization.

22425121400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943890 (or 1943887 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22425121400022 its reverse (22000412152422), we get a palindrome (44425533552444).

The spelling of 22425121400022 in words is "twenty-two trillion, four hundred twenty-five billion, one hundred twenty-one million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 821 1278 1562 1642 2343 2463 4686 4926 7029 7389 9031 14058 14778 18062 27093 54186 58291 81279 116582 162558 174873 349746 524619 641201 1049238 1282402 1923603 1942979 3847206 3885958 5770809 5828937 11541618 11657874 17486811 21372769 34973622 42745538 64118307 128236614 137951509 192354921 275903018 384709842 413854527 827709054 1241563581 1517466599 1595185759 2483127162 3034933198 3190371518 4552399797 4785557277 9104799594 9571114554 13657199391 14356671831 17547043349 27314398782 28713343662 35094086698 52641130047 105282260094 113258188889 157923390141 226516377778 315846780282 339774566667 679549133334 1019323700001 1245840077779 2038647400002 2491680155558 3737520233337 7475040466674 11212560700011 22425121400022