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228499948800 = 2832526165033
BaseRepresentation
bin1101010011001110101…
…0001000010100000000
3210211210112222002110200
43110303222020110000
512220431441330200
6252545454525200
722336304342514
oct3246352102400
9724715862420
10228499948800
11889a729a5a2
1238350206800
13187169a48c6
14b0b9212144
155e25543800
hex3533a88500

228499948800 has 324 divisors, whose sum is σ = 830344096764. Its totient is φ = 59933491200.

The previous prime is 228499948757. The next prime is 228499948801. The reversal of 228499948800 is 8849994822.

228499948800 is a `hidden beast` number, since 2 + 28 + 49 + 99 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7088292864 + 221411655936 = 84192^2 + 470544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228499948801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3481084 + ... + 3546116.

Almost surely, 2228499948800 is an apocalyptic number.

228499948800 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 228499948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415172048382).

228499948800 is an abundant number, since it is smaller than the sum of its proper divisors (601844147964).

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

228499948800 is a wasteful number, since it uses less digits than its factorization.

228499948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65126 (or 65104 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 228499948800 in words is "two hundred twenty-eight billion, four hundred ninety-nine million, nine hundred forty-eight thousand, eight hundred".