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226748333167225 = 521921585072
BaseRepresentation
bin110011100011100111110101…
…110110100001001001111001
31002201211221002012111210202221
4303203213311312201021321
5214210021041242322400
62122130425103324041
765522012034664252
oct6343476566411171
91081757065453687
10226748333167225
1166281478835331
1221521419bb0621
13996a3786a656c
143ddc96c175b29
151b333a0308c1a
hexce39f5da1279

226748333167225 has 27 divisors (see below), whose sum is σ = 296746976075727. Its totient is φ = 171850284107280.

The previous prime is 226748333167183. The next prime is 226748333167229. The reversal of 226748333167225 is 522761333847622.

It is a happy number.

The square root of 226748333167225 is 15058165.

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

It can be written as a sum of positive squares in only one way, i.e., 81629399940201 + 145118933227024 = 9034899^2 + 12046532^2 .

It is not a de Polignac number, because 226748333167225 - 29 = 226748333166713 is a prime.

It is a super-2 number, since 2×2267483331672252 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226748333167229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1430446422 + ... + 1430604928.

Almost surely, 2226748333167225 is an apocalyptic number.

226748333167225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226748333167225 is the 15058165-th square number.

226748333167225 is the 7529083-rd centered octagonal number.

It is an amenable number.

226748333167225 is a deficient number, since it is larger than the sum of its proper divisors (69998642908502).

226748333167225 is an frugal number, since it uses more digits than its factorization.

226748333167225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317062 (or 158531 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 61.

The spelling of 226748333167225 in words is "two hundred twenty-six trillion, seven hundred forty-eight billion, three hundred thirty-three million, one hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 9025 158507 792535 3011633 3962675 15058165 57221027 75290825 286105135 1430525675 25124469049 125622345245 477364911931 628111726225 2386824559655 9069933326689 11934122798275 45349666633445 226748333167225