Search a number
-
+
228374073225 = 3252318592
BaseRepresentation
bin1101010010110000100…
…1111100111110001001
3210211110210002221122100
43110230021330332021
512220202230320400
6252525200544013
722333215410364
oct3245411747611
9724423087570
10228374073225
11889422353a1
1238316022009
13186c68a150c
14b0a66070db
155e1947c100
hex352c27cf89

228374073225 has 27 divisors (see below), whose sum is σ = 409056179623. Its totient is φ = 121795682640.

The previous prime is 228374073203. The next prime is 228374073281. The reversal of 228374073225 is 522370473822.

The square root of 228374073225 is 477885.

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

228374073225 is a `hidden beast` number, since 2 + 283 + 7 + 40 + 7 + 322 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82214666361 + 146159406864 = 286731^2 + 382308^2 .

It is not a de Polignac number, because 228374073225 - 27 = 228374073097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7152346 + ... + 7184204.

Almost surely, 2228374073225 is an apocalyptic number.

228374073225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228374073225 is the 477885-th square number.

228374073225 is the 238943-rd centered octagonal number.

It is an amenable number.

228374073225 is a deficient number, since it is larger than the sum of its proper divisors (180682106398).

228374073225 is an frugal number, since it uses more digits than its factorization.

228374073225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63734 (or 31867 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 228374073225 in words is "two hundred twenty-eight billion, three hundred seventy-four million, seventy-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 31859 95577 159295 286731 477885 796475 1433655 2389425 7168275 1014995881 3044987643 5074979405 9134962929 15224938215 25374897025 45674814645 76124691075 228374073225