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226374800 = 2452565937
BaseRepresentation
bin11010111111000…
…11010010010000
3120202222000211212
431133203102100
5430422443200
634243555252
75416103561
oct1537432220
9522860755
10226374800
11106867813
126398bb28
1337b901b2
14220ca168
1514d19035
hexd7e3490

226374800 has 30 divisors (see below), whose sum is σ = 543866418. Its totient is φ = 90549760.

The previous prime is 226374791. The next prime is 226374829. The reversal of 226374800 is 8473622.

226374800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 69022864 + 157351936 = 8308^2 + 12544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282569 + ... + 283368.

Almost surely, 2226374800 is an apocalyptic number.

226374800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226374800 is an abundant number, since it is smaller than the sum of its proper divisors (317491618).

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

226374800 is a wasteful number, since it uses less digits than its factorization.

226374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565955 (or 565944 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 226374800 is about 15045.7568769404. The cubic root of 226374800 is about 609.4564718595.

The spelling of 226374800 in words is "two hundred twenty-six million, three hundred seventy-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 565937 1131874 2263748 2829685 4527496 5659370 9054992 11318740 14148425 22637480 28296850 45274960 56593700 113187400 226374800