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228221920161 = 321710613140549
BaseRepresentation
bin1101010010001100010…
…1100010001110100001
3210211002011210202212200
43110203011202032201
512214344302421121
6252502123443413
722326360212424
oct3244305421641
9724064722780
10228221920161
1188874362564
1238293086569
13186a11ca611
14b09031b9bb
155e0ae24a26
hex35231623a1

228221920161 has 24 divisors (see below), whose sum is σ = 349080661800. Its totient is φ = 143183556096.

The previous prime is 228221920103. The next prime is 228221920211. The reversal of 228221920161 is 161029122822.

228221920161 is a `hidden beast` number, since 2 + 282 + 219 + 2 + 0 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91540133136 + 136681787025 = 302556^2 + 369705^2 .

It is not a de Polignac number, because 228221920161 - 215 = 228221887393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228221920261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553515 + ... + 1694063.

It is an arithmetic number, because the mean of its divisors is an integer number (14545027575).

Almost surely, 2228221920161 is an apocalyptic number.

It is an amenable number.

228221920161 is a deficient number, since it is larger than the sum of its proper divisors (120858741639).

228221920161 is a wasteful number, since it uses less digits than its factorization.

228221920161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151185 (or 151182 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 228221920161 in words is "two hundred twenty-eight billion, two hundred twenty-one million, nine hundred twenty thousand, one hundred sixty-one".

Divisors: 1 3 9 17 51 153 10613 31839 95517 140549 180421 421647 541263 1264941 1623789 2389333 7167999 21503997 1491646537 4474939611 13424818833 25357991129 76073973387 228221920161