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228375781920 = 2532511136716553
BaseRepresentation
bin1101010010110001000…
…0011110001000100000
3210211110220022202112100
43110230100132020200
512220203200010140
6252525301330400
722333236055116
oct3245420361040
9724426282470
10228375781920
11889431a2140
1238316706a00
13186c704c190
14b0a692dab6
155e196b8530
hex352c41e220

228375781920 has 576 divisors, whose sum is σ = 929300770944. Its totient is φ = 50339266560.

The previous prime is 228375781877. The next prime is 228375781969. The reversal of 228375781920 is 29187573822.

228375781920 is a `hidden beast` number, since 2 + 2 + 8 + 37 + 578 + 19 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13788364 + ... + 13804916.

It is an arithmetic number, because the mean of its divisors is an integer number (1613369394).

Almost surely, 2228375781920 is an apocalyptic number.

228375781920 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 228375781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464650385472).

228375781920 is an abundant number, since it is smaller than the sum of its proper divisors (700924989024).

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

228375781920 is a wasteful number, since it uses less digits than its factorization.

228375781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665 (or 16654 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 228375781920 in words is "two hundred twenty-eight billion, three hundred seventy-five million, seven hundred eighty-one thousand, nine hundred twenty".