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214771920384 = 293723192051
BaseRepresentation
bin1100100000000101100…
…1110110111000000000
3202112100211020222202210
43020001121312320000
512004323102423014
6242355335342120
721342151126200
oct3100131667000
9675324228683
10214771920384
11830a217166a
123575a821940
131733982c078
14a575cd4400
1558c0234859
hex3201676e00

214771920384 has 240 divisors, whose sum is σ = 687058454016. Its totient is φ = 59383296000.

The previous prime is 214771920379. The next prime is 214771920397. The reversal of 214771920384 is 483029177412.

It is a super-2 number, since 2×2147719203842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287159 + ... + 2379209.

Almost surely, 2214771920384 is an apocalyptic number.

214771920384 is a gapful number since it is divisible by the number (24) 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 214771920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343529227008).

214771920384 is an abundant number, since it is smaller than the sum of its proper divisors (472286533632).

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

214771920384 is an equidigital number, since it uses as much as digits as its factorization.

214771920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92117 (or 92094 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 214771920384 in words is "two hundred fourteen billion, seven hundred seventy-one million, nine hundred twenty thousand, three hundred eighty-four".