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405020226 = 231319674079
BaseRepresentation
bin11000001001000…
…001111001000010
31001020010011022010
4120021001321002
51312141121401
6104104553350
713015420662
oct3011017102
91036104263
10405020226
11198694766
12b3782856
1365bab650
143bb101a2
1525855ed6
hex18241e42

405020226 has 64 divisors (see below), whose sum is σ = 932198400. Its totient is φ = 116271936.

The previous prime is 405020183. The next prime is 405020233. The reversal of 405020226 is 622020504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97255 + ... + 101333.

It is an arithmetic number, because the mean of its divisors is an integer number (14565600).

Almost surely, 2405020226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405020226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466099200).

405020226 is an abundant number, since it is smaller than the sum of its proper divisors (527178174).

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

405020226 is a wasteful number, since it uses less digits than its factorization.

405020226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405020226 is about 20125.1143102344. The cubic root of 405020226 is about 739.8759385399.

The spelling of 405020226 in words is "four hundred five million, twenty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 67 78 114 134 201 247 402 494 741 871 1273 1482 1742 2546 2613 3819 4079 5226 7638 8158 12237 16549 24474 33098 49647 53027 77501 99294 106054 155002 159081 232503 273293 318162 465006 546586 819879 1007513 1639758 2015026 3022539 3552809 5192567 6045078 7105618 10385134 10658427 15577701 21316854 31155402 67503371 135006742 202510113 405020226