Search a number
-
+
149100238225 = 5229226632
BaseRepresentation
bin1000101011011100010…
…0010001010110010001
3112020212001101212202101
42022313010101112101
54420324130110400
6152255023320401
713525562054041
oct2126704212621
9466761355671
10149100238225
1158262219884
1224a91450101
13110a203a343
147306097721
153d29aed56a
hex22b7111591

149100238225 has 27 divisors (see below), whose sum is σ = 191551385233. Its totient is φ = 115123833440.

The previous prime is 149100238207. The next prime is 149100238247. The reversal of 149100238225 is 522832001941.

The square root of 149100238225 is 386135.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2049463441 + 147050774784 = 45271^2 + 383472^2 .

It is not a de Polignac number, because 149100238225 - 217 = 149100107153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55988244 + ... + 55990906.

Almost surely, 2149100238225 is an apocalyptic number.

149100238225 is the 386135-th square number.

149100238225 is the 193068-th centered octagonal number.

It is an amenable number.

149100238225 is a deficient number, since it is larger than the sum of its proper divisors (42451147008).

149100238225 is an frugal number, since it uses more digits than its factorization.

149100238225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 149100238225 in words is "one hundred forty-nine billion, one hundred million, two hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 2663 4205 13315 21025 66575 77227 386135 1930675 2239583 7091569 11197915 35457845 55989575 177289225 205655501 1028277505 5141387525 5964009529 29820047645 149100238225