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226998720 = 26335134347
BaseRepresentation
bin11011000011110…
…11100111000000
3120211010201201000
431201323213000
5431102424340
634305212000
75424312564
oct1541734700
9524121630
10226998720
11107153553
1264031000
133804b190
142220d6a4
1514dddd30
hexd87b9c0

226998720 has 448 divisors, whose sum is σ = 901232640. Its totient is φ = 53415936.

The previous prime is 226998691. The next prime is 226998727. The reversal of 226998720 is 27899622.

226998720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226998727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829737 + ... + 4829783.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2226998720 is an apocalyptic number.

226998720 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 226998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

226998720 is an abundant number, since it is smaller than the sum of its proper divisors (674233920).

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

226998720 is a wasteful number, since it uses less digits than its factorization.

226998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 226998720 is about 15066.4766949675. The cubic root of 226998720 is about 610.0158734560.

The spelling of 226998720 in words is "two hundred twenty-six million, nine hundred ninety-eight thousand, seven hundred twenty".