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226206420 = 2235111720161
BaseRepresentation
bin11010111101110…
…10001011010100
3120202122110212120
431132322023110
5430402101140
634240215540
75414502636
oct1536721324
9522573776
10226206420
11106762260
126390a5b0
1337b3166b
1422084a56
1514cd41d0
hexd7ba2d4

226206420 has 96 divisors (see below), whose sum is σ = 731638656. Its totient is φ = 51609600.

The previous prime is 226206401. The next prime is 226206443. The reversal of 226206420 is 24602622.

It is a congruent number.

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, 1140 + ... + 21300.

It is an arithmetic number, because the mean of its divisors is an integer number (7621236).

Almost surely, 2226206420 is an apocalyptic number.

226206420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365819328).

226206420 is an abundant number, since it is smaller than the sum of its proper divisors (505432236).

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

226206420 is a wasteful number, since it uses less digits than its factorization.

226206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226206420 is about 15040.1602385081. The cubic root of 226206420 is about 609.3053276294.

The spelling of 226206420 in words is "two hundred twenty-six million, two hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 20161 40322 60483 80644 100805 120966 201610 221771 241932 302415 342737 403220 443542 604830 665313 685474 887084 1028211 1108855 1209660 1330626 1370948 1713685 2056422 2217710 2661252 3326565 3427370 3770107 4112844 4435420 5141055 6653130 6854740 7540214 10282110 11310321 13306260 15080428 18850535 20564220 22620642 37701070 45241284 56551605 75402140 113103210 226206420