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226079800 = 23521318629
BaseRepresentation
bin11010111100110…
…11010000111000
3120202102001011221
431132123100320
5430334023200
634233401424
75413434532
oct1536332070
9522361157
10226079800
11106686111
1263869274
1337ab8b3b
1422050852
1514cab91a
hexd79b438

226079800 has 48 divisors (see below), whose sum is σ = 529709400. Its totient is φ = 89731200.

The previous prime is 226079783. The next prime is 226079813. The reversal of 226079800 is 8970622.

226079800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260798002 = 102224151936080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21886 + ... + 30514.

Almost surely, 2226079800 is an apocalyptic number.

226079800 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 226079800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264854700).

226079800 is an abundant number, since it is smaller than the sum of its proper divisors (303629600).

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

226079800 is a wasteful number, since it uses less digits than its factorization.

226079800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 226079800 is about 15035.9502526445. The cubic root of 226079800 is about 609.1916193327.

The spelling of 226079800 in words is "two hundred twenty-six million, seventy-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2620 3275 5240 6550 8629 13100 17258 26200 34516 43145 69032 86290 172580 215725 345160 431450 862900 1130399 1725800 2260798 4521596 5651995 9043192 11303990 22607980 28259975 45215960 56519950 113039900 226079800