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226012500 = 2232557241
BaseRepresentation
bin11010111100010…
…10110101010100
3120202021121212100
431132022311110
5430324400000
634232122100
75413034400
oct1536126524
9522247770
10226012500
1110663a59a
1263836330
1337a9430c
1422034100
1514c96a00
hexd78ad54

226012500 has 324 divisors, whose sum is σ = 850937724. Its totient is φ = 50400000.

The previous prime is 226012499. The next prime is 226012517. The reversal of 226012500 is 5210622.

It can be written as a sum of positive squares in 6 ways, for example, as 221057424 + 4955076 = 14868^2 + 2226^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5512480 + ... + 5512520.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351).

Almost surely, 2226012500 is an apocalyptic number.

226012500 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 226012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425468862).

226012500 is an abundant number, since it is smaller than the sum of its proper divisors (624925224).

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

226012500 is a wasteful number, since it uses less digits than its factorization.

226012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 226012500 is about 15033.7121164402. The cubic root of 226012500 is about 609.1311647722.

The spelling of 226012500 in words is "two hundred twenty-six million, twelve thousand, five hundred".