Search a number
-
+
22452430136337 = 339771031206941
BaseRepresentation
bin1010001101011100111010…
…00111110110010000010001
32221111102122110102121121000
411012232131013312100101
510420330034103330322
6115430300511052213
74505064102154215
oct506563507662021
987442573377530
1022452430136337
117177027529703
122627521511069
13c6b341533b46
145789bc266945
1528e08c62c3ac
hex146b9d1f6411

22452430136337 has 32 divisors (see below), whose sum is σ = 33610534594560. Its totient is φ = 14811876656640.

The previous prime is 22452430136299. The next prime is 22452430136351. The reversal of 22452430136337 is 73363103425422.

22452430136337 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 2 + 4 + 3 + 0 + 1 + 3 + 633 + 7 = 666.

It is not a de Polignac number, because 22452430136337 - 219 = 22452429612049 is a prime.

It is a super-2 number, since 2×224524301363372 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22452430136292 and 22452430136301.

It is not an unprimeable number, because it can be changed into a prime (22452430126337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17999287 + ... + 19206227.

It is an arithmetic number, because the mean of its divisors is an integer number (1050329206080).

Almost surely, 222452430136337 is an apocalyptic number.

22452430136337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22452430136337 is a deficient number, since it is larger than the sum of its proper divisors (11158104458223).

22452430136337 is a wasteful number, since it uses less digits than its factorization.

22452430136337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214150 (or 1214144 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 22452430136337 in words is "twenty-two trillion, four hundred fifty-two billion, four hundred thirty million, one hundred thirty-six thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 97 291 873 2619 7103 21309 63927 191781 688991 1206941 2066973 3620823 6200919 10862469 18602757 32587407 117073277 351219831 1053659493 3160978479 8572901923 25718705769 77156117307 231468351921 831571486531 2494714459593 7484143378779 22452430136337