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22142315005254 = 23229993511116827
BaseRepresentation
bin1010000100011011010001…
…10100100000010101000110
32220101210012000002200120100
411002031220310200111012
510400234430120132004
6115032012235344530
74443505131064503
oct502155064402506
986353160080510
1022142315005254
117067559631744
1225973b45b2146
13c4801bc07092
1456799d9924aa
15285e8be1c739
hex142368d20546

22142315005254 has 48 divisors (see below), whose sum is σ = 48005092512000. Its totient is φ = 7376145968880.

The previous prime is 22142315005229. The next prime is 22142315005273. The reversal of 22142315005254 is 45250051324122.

22142315005254 is a `hidden beast` number, since 2 + 2 + 142 + 3 + 1 + 500 + 5 + 2 + 5 + 4 = 666.

It is a super-2 number, since 2×221423150052542 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 189472389 + ... + 189589215.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106094000).

Almost surely, 222142315005254 is an apocalyptic number.

22142315005254 is an abundant number, since it is smaller than the sum of its proper divisors (25862777506746).

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

22142315005254 is a wasteful number, since it uses less digits than its factorization.

22142315005254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123345 (or 123342 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 22142315005254 its reverse (45250051324122), we get a palindrome (67392366329376).

The spelling of 22142315005254 in words is "twenty-two trillion, one hundred forty-two billion, three hundred fifteen million, five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 2999 3511 5998 7022 8997 10533 17994 21066 26991 31599 53982 63198 116827 233654 350481 700962 1051443 2102886 10529489 21058978 31588467 63176934 94765401 189530802 350364173 410179597 700728346 820359194 1051092519 1230538791 2102185038 2461077582 3153277557 3691616373 6306555114 7383232746 1230128611403 2460257222806 3690385834209 7380771668418 11071157502627 22142315005254