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228990720 = 2835721217
BaseRepresentation
bin11011010011000…
…01111100000000
3120221212221012210
431221201330000
5432110200340
634420022120
75450250300
oct1551417400
9527787183
10228990720
11108294132
1264831940
1338597a8a
14225ab600
1515184180
hexda61f00

228990720 has 216 divisors, whose sum is σ = 851440464. Its totient is φ = 52297728.

The previous prime is 228990719. The next prime is 228990803. The reversal of 228990720 is 27099822.

It is a super-2 number, since 2×2289907202 = 104873499692236800, 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 23 ways as a sum of consecutive naturals, for example, 187552 + ... + 188768.

It is an arithmetic number, because the mean of its divisors is an integer number (3941854).

Almost surely, 2228990720 is an apocalyptic number.

228990720 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 228990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425720232).

228990720 is an abundant number, since it is smaller than the sum of its proper divisors (622449744).

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

228990720 is a wasteful number, since it uses less digits than its factorization.

228990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 228990720 is about 15132.4393274845. The cubic root of 228990720 is about 611.7950529093.

The spelling of 228990720 in words is "two hundred twenty-eight million, nine hundred ninety thousand, seven hundred twenty".