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228017695680 = 2634523393761
BaseRepresentation
bin1101010001011011101…
…0011110101111000000
3210210112221112002120000
43110112322132233000
512213440012230210
6252425550320000
722321330301655
oct3242672365700
9723487462500
10228017695680
118877a0546a5
12382367b9000
131866aac4528
14b071159c2c
155de8033ac0
hex3516e9ebc0

228017695680 has 280 divisors, whose sum is σ = 811661582160. Its totient is φ = 60762562560.

The previous prime is 228017695679. The next prime is 228017695691. The reversal of 228017695680 is 86596710822.

228017695680 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 1 + 76 + 9 + 568 + 0 = 666.

228017695680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60625000 + ... + 60628760.

Almost surely, 2228017695680 is an apocalyptic number.

228017695680 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 228017695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405830791080).

228017695680 is an abundant number, since it is smaller than the sum of its proper divisors (583643886480).

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

228017695680 is a wasteful number, since it uses less digits than its factorization.

228017695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 228017695680 in words is "two hundred twenty-eight billion, seventeen million, six hundred ninety-five thousand, six hundred eighty".