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228573714240 = 26335412712381
BaseRepresentation
bin1101010011100000001…
…1100001011101000000
3210211222200202202122000
43110320003201131000
512221104332323430
6253001051544000
722341161341224
oct3247003413500
9724880682560
10228573714240
1188a349a2673
1238370a5b000
13187290612b1
14b0c4d34784
155e2bc64e60
hex35380e1740

228573714240 has 448 divisors, whose sum is σ = 829420784640. Its totient is φ = 59222016000.

The previous prime is 228573714223. The next prime is 228573714263. The reversal of 228573714240 is 42417375822.

228573714240 is a `hidden beast` number, since 2 + 2 + 8 + 573 + 71 + 4 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95997850 + ... + 96000230.

It is an arithmetic number, because the mean of its divisors is an integer number (1851385680).

Almost surely, 2228573714240 is an apocalyptic number.

228573714240 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 228573714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414710392320).

228573714240 is an abundant number, since it is smaller than the sum of its proper divisors (600847070400).

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

228573714240 is a wasteful number, since it uses less digits than its factorization.

228573714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 228573714240 in words is "two hundred twenty-eight billion, five hundred seventy-three million, seven hundred fourteen thousand, two hundred forty".