Search a number
-
+
22516000001325 = 3352173192815243
BaseRepresentation
bin1010001111010011010100…
…01011101000110100101101
32221201111201202100100111000
411013221222023220310231
510422400232000020300
6115515412501550513
74512504320123445
oct507515213506455
987644652310430
1022516000001325
1171a0a89012106
122637902a15439
13c7433274c87c
1457baccca3125
15290a5d48cc00
hex147a6a2e8d2d

22516000001325 has 48 divisors (see below), whose sum is σ = 41601817045440. Its totient is φ = 11939119784640.

The previous prime is 22516000001291. The next prime is 22516000001347. The reversal of 22516000001325 is 52310000061522.

It is a happy number.

22516000001325 is a `hidden beast` number, since 2 + 2 + 51 + 600 + 0 + 0 + 0 + 1 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 22516000001325 - 231 = 22513852517677 is a prime.

It is a super-3 number, since 3×225160000013253 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96290847 + ... + 96524396.

It is an arithmetic number, because the mean of its divisors is an integer number (866704521780).

Almost surely, 222516000001325 is an apocalyptic number.

22516000001325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22516000001325 is a deficient number, since it is larger than the sum of its proper divisors (19085817044115).

22516000001325 is a wasteful number, since it uses less digits than its factorization.

22516000001325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192815435 (or 192815424 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 22516000001325 its reverse (52310000061522), we get a palindrome (74826000062847).

The spelling of 22516000001325 in words is "twenty-two trillion, five hundred sixteen billion, one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 173 225 519 675 865 1557 2595 4325 4671 7785 12975 23355 38925 116775 192815243 578445729 964076215 1735337187 2892228645 4820381075 5206011561 8676685935 14461143225 26030057805 33357037039 43383429675 100071111117 130150289025 166785185195 300213333351 500355555585 833925925975 900640000053 1501066666755 2501777777925 4503200000265 7505333333775 22516000001325