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228558999240 = 233451113618087
BaseRepresentation
bin1101010011011100101…
…1011000111011001000
3210211221200002011110000
43110313023120323020
512221042100433430
6252555404323000
722340622303315
oct3246713307310
9724850064400
10228558999240
1188a27662010
1238367b43460
1318725cab5b0
14b0c2dc3d0c
155e2a809e60
hex35372d8ec8

228558999240 has 640 divisors, whose sum is σ = 917423781120. Its totient is φ = 50301388800.

The previous prime is 228558999199. The next prime is 228558999241. The reversal of 228558999240 is 42999855822.

228558999240 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 589 + 9 + 9 + 2 + 40 = 666.

It is a super-2 number, since 2×2285589992402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228558999241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28258477 + ... + 28266563.

It is an arithmetic number, because the mean of its divisors is an integer number (1433474658).

Almost surely, 2228558999240 is an apocalyptic number.

228558999240 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 228558999240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458711890560).

228558999240 is an abundant number, since it is smaller than the sum of its proper divisors (688864781880).

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

228558999240 is a wasteful number, since it uses less digits than its factorization.

228558999240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 228558999240 in words is "two hundred twenty-eight billion, five hundred fifty-eight million, nine hundred ninety-nine thousand, two hundred forty".