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228379753152 = 26331918138431
BaseRepresentation
bin1101010010110001111…
…1100111101011000000
3210211111011210112001000
43110230133213223000
512220210204100102
6252525522412000
722333314605055
oct3245437475300
9724434715030
10228379753152
1188945464851
1238317b01000
13186c7b0c915
14b0a728502c
155e19c0001c
hex352c7e7ac0

228379753152 has 224 divisors, whose sum is σ = 710653798400. Its totient is φ = 71719603200.

The previous prime is 228379753123. The next prime is 228379753181. The reversal of 228379753152 is 251357973822.

228379753152 is a `hidden beast` number, since 2 + 28 + 37 + 9 + 7 + 531 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (228379753123) and next prime (228379753181).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5923377 + ... + 5961807.

It is an arithmetic number, because the mean of its divisors is an integer number (3172561600).

Almost surely, 2228379753152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228379753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355326899200).

228379753152 is an abundant number, since it is smaller than the sum of its proper divisors (482274045248).

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

228379753152 is a wasteful number, since it uses less digits than its factorization.

228379753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38652 (or 38636 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 228379753152 in words is "two hundred twenty-eight billion, three hundred seventy-nine million, seven hundred fifty-three thousand, one hundred fifty-two".