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226752540 = 223571992713
BaseRepresentation
bin11011000001111…
…11100000011100
3120210200020000020
431200333200130
5431022040130
634300032140
75422236060
oct1540774034
9523606006
10226752540
11106aa55a3
1263b32650
1337c93101
1422187aa0
1514d90e10
hexd83f81c

226752540 has 96 divisors (see below), whose sum is σ = 729523200. Its totient is φ = 51549696.

The previous prime is 226752523. The next prime is 226752553. The reversal of 226752540 is 45257622.

226752540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 82224 + ... + 84936.

It is an arithmetic number, because the mean of its divisors is an integer number (7599200).

Almost surely, 2226752540 is an apocalyptic number.

226752540 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 226752540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364761600).

226752540 is an abundant number, since it is smaller than the sum of its proper divisors (502770660).

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

226752540 is a wasteful number, since it uses less digits than its factorization.

226752540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 226752540 is about 15058.3046854551. The cubic root of 226752540 is about 609.7952730517.

The spelling of 226752540 in words is "two hundred twenty-six million, seven hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 199 210 398 420 597 796 995 1194 1393 1990 2388 2713 2786 2985 3980 4179 5426 5572 5970 6965 8139 8358 10852 11940 13565 13930 16278 16716 18991 20895 27130 27860 32556 37982 40695 41790 54260 56973 75964 81390 83580 94955 113946 162780 189910 227892 284865 379820 539887 569730 1079774 1139460 1619661 2159548 2699435 3239322 3779209 5398870 6478644 7558418 8098305 10797740 11337627 15116836 16196610 18896045 22675254 32393220 37792090 45350508 56688135 75584180 113376270 226752540