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220053474 = 232176111789
BaseRepresentation
bin11010001110110…
…11111111100010
3120100001212121200
431013123333202
5422313202344
633500302030
75311265214
oct1507337742
9510055550
10220053474
1110323a483
1261841916
1336788b74
14213225b4
15144bb069
hexd1dbfe2

220053474 has 48 divisors (see below), whose sum is σ = 513147960. Its totient is φ = 67898880.

The previous prime is 220053461. The next prime is 220053499. The reversal of 220053474 is 474350022.

It can be written as a sum of positive squares in 4 ways, for example, as 94770225 + 125283249 = 9735^2 + 11193^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12772 + ... + 24560.

Almost surely, 2220053474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220053474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256573980).

220053474 is an abundant number, since it is smaller than the sum of its proper divisors (293094486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220053474 is a wasteful number, since it uses less digits than its factorization.

220053474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 220053474 is about 14834.1994728398. The cubic root of 220053474 is about 603.7299806898.

The spelling of 220053474 in words is "two hundred twenty million, fifty-three thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 11789 18666 23578 35367 70734 106101 200413 212202 400826 601239 719129 1202478 1438258 1803717 2157387 3607434 4314774 6472161 12225193 12944322 24450386 36675579 73351158 110026737 220053474