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226160446340 = 225791011417223
BaseRepresentation
bin1101001010100000110…
…1101000101110000100
3210121202111210001102102
43102220031220232010
512201134033240330
6251521403131232
722224316034603
oct3225015505604
9717674701372
10226160446340
1187a06748794
12379b8813b18
13184330ab51a
14ad3661da3a
155d39e6c945
hex34a8368b84

226160446340 has 48 divisors (see below), whose sum is σ = 485711009280. Its totient is φ = 88434652800.

The previous prime is 226160446333. The next prime is 226160446381. The reversal of 226160446340 is 43644061622.

It is a super-3 number, since 3×2261604463403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 226160446294 and 226160446303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549032 + ... + 868191.

It is an arithmetic number, because the mean of its divisors is an integer number (10118979360).

Almost surely, 2226160446340 is an apocalyptic number.

226160446340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226160446340 is an abundant number, since it is smaller than the sum of its proper divisors (259550562940).

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

226160446340 is a wasteful number, since it uses less digits than its factorization.

226160446340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417412 (or 1417410 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 226160446340 in words is "two hundred twenty-six billion, one hundred sixty million, four hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 79 101 158 202 316 395 404 505 790 1010 1580 2020 7979 15958 31916 39895 79790 159580 1417223 2834446 5668892 7086115 14172230 28344460 111960617 143139523 223921234 286279046 447842468 559803085 572558092 715697615 1119606170 1431395230 2239212340 2862790460 11308022317 22616044634 45232089268 56540111585 113080223170 226160446340