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226074300 = 22352799539
BaseRepresentation
bin11010111100110…
…01111010111100
3120202101202122020
431132121322330
5430333334200
634233320140
75413412514
oct1536317274
9522352566
10226074300
11106681a71
1263866050
1337ab649a
142204c844
1514ca9ea0
hexd799ebc

226074300 has 72 divisors (see below), whose sum is σ = 662457600. Its totient is φ = 59517120.

The previous prime is 226074283. The next prime is 226074301. The reversal of 226074300 is 3470622.

It is a super-2 number, since 2×2260743002 = 102219178240980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226074301) 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, 18931 + ... + 28469.

It is an arithmetic number, because the mean of its divisors is an integer number (9200800).

Almost surely, 2226074300 is an apocalyptic number.

226074300 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 226074300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331228800).

226074300 is an abundant number, since it is smaller than the sum of its proper divisors (436383300).

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

226074300 is a wasteful number, since it uses less digits than its factorization.

226074300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9635 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 226074300 is about 15035.7673565402. The cubic root of 226074300 is about 609.1866792171.

The spelling of 226074300 in words is "two hundred twenty-six million, seventy-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 9539 11850 19078 23700 28617 38156 47695 57234 95390 114468 143085 190780 238475 286170 476950 572340 715425 753581 953900 1430850 1507162 2260743 2861700 3014324 3767905 4521486 7535810 9042972 11303715 15071620 18839525 22607430 37679050 45214860 56518575 75358100 113037150 226074300