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226087400 = 235271153277
BaseRepresentation
bin11010111100111…
…01000111101000
3120202102102121102
431132131013220
5430334244100
634233500532
75413465640
oct1536350750
9522372542
10226087400
111066908a0
1263871748
1337abc436
1422053520
1514cadcd5
hexd79d1e8

226087400 has 192 divisors, whose sum is σ = 670135680. Its totient is φ = 68889600.

The previous prime is 226087391. The next prime is 226087423. The reversal of 226087400 is 4780622.

It is a super-2 number, since 2×2260874002 = 102231024877520000, 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 47 ways as a sum of consecutive naturals, for example, 816062 + ... + 816338.

It is an arithmetic number, because the mean of its divisors is an integer number (3490290).

Almost surely, 2226087400 is an apocalyptic number.

226087400 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 226087400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335067840).

226087400 is an abundant number, since it is smaller than the sum of its proper divisors (444048280).

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

226087400 is a wasteful number, since it uses less digits than its factorization.

226087400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 226087400 is about 15036.2029781458. The cubic root of 226087400 is about 609.1984455425.

The spelling of 226087400 in words is "two hundred twenty-six million, eighty-seven thousand, four hundred".