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226842400 = 2552283553
BaseRepresentation
bin11011000010101…
…01011100100000
3120210211210021101
431201111130200
5431032424100
634302004144
75423062051
oct1541253440
9523753241
10226842400
11107057064
1263b76654
1337cc4c95
14221ac728
1514dac86a
hexd855720

226842400 has 36 divisors (see below), whose sum is σ = 553780962. Its totient is φ = 90736640.

The previous prime is 226842397. The next prime is 226842409. The reversal of 226842400 is 4248622.

It can be written as a sum of positive squares in 3 ways, for example, as 219158416 + 7683984 = 14804^2 + 2772^2 .

It is not an unprimeable number, because it can be changed into a prime (226842409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140977 + ... + 142576.

Almost surely, 2226842400 is an apocalyptic number.

226842400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226842400 is an abundant number, since it is smaller than the sum of its proper divisors (326938562).

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

226842400 is a wasteful number, since it uses less digits than its factorization.

226842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283573 (or 283560 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 226842400 is about 15061.2881255223. The cubic root of 226842400 is about 609.8758145477.

The spelling of 226842400 in words is "two hundred twenty-six million, eight hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 283553 567106 1134212 1417765 2268424 2835530 4536848 5671060 7088825 9073696 11342120 14177650 22684240 28355300 45368480 56710600 113421200 226842400