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228597778161 = 3219728092
BaseRepresentation
bin1101010011100101111…
…1010100011011110001
3210212001101001100010100
43110321133110123301
512221132012400121
6253003311423013
722341603024354
oct3247137243361
9725041040110
10228597778161
1188a47539205
1238378b24a69
13187310383bc
14b0c81da29b
155e2de1a026
hex35397d46f1

228597778161 has 27 divisors (see below), whose sum is σ = 332292168481. Its totient is φ = 151437499584.

The previous prime is 228597778153. The next prime is 228597778181. The reversal of 228597778161 is 161877795822.

The square root of 228597778161 is 478119.

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

228597778161 is a `hidden beast` number, since 2 + 28 + 597 + 7 + 7 + 8 + 16 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176816045025 + 51781733136 = 420495^2 + 227556^2 .

It is not a de Polignac number, because 228597778161 - 23 = 228597778153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228597778141) 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, 282567925 + ... + 282568733.

Almost surely, 2228597778161 is an apocalyptic number.

228597778161 is the 478119-th square number.

228597778161 is the 239060-th centered octagonal number.

It is an amenable number.

228597778161 is a deficient number, since it is larger than the sum of its proper divisors (103694390320).

228597778161 is an frugal number, since it uses more digits than its factorization.

228597778161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1009 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 228597778161 in words is "two hundred twenty-eight billion, five hundred ninety-seven million, seven hundred seventy-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 197 591 809 1773 2427 7281 38809 116427 159373 349281 478119 654481 1434357 1963443 5890329 31396481 94189443 128932757 282568329 386798271 1160394813 25399753129 76199259387 228597778161