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214490669988 = 223724373791471
BaseRepresentation
bin1100011111000010100…
…0111110001110100100
3202111122020000222202110
43013300220332032210
512003234102414423
6242311411241020
721332164420200
oct3076050761644
9674566028673
10214490669988
1182a68434021
12356a05a9170
13172c349750a
14a54a801b00
1558a56cb193
hex31f0a3e3a4

214490669988 has 288 divisors, whose sum is σ = 611948789760. Its totient is φ = 58250949120.

The previous prime is 214490669957. The next prime is 214490670059. The reversal of 214490669988 is 889966094412.

214490669988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2144906699882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145812093 + ... + 145813563.

Almost surely, 2214490669988 is an apocalyptic number.

214490669988 is a gapful number since it is divisible by the number (28) 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 214490669988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305974394880).

214490669988 is an abundant number, since it is smaller than the sum of its proper divisors (397458119772).

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

214490669988 is a wasteful number, since it uses less digits than its factorization.

214490669988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 66.

The spelling of 214490669988 in words is "two hundred fourteen billion, four hundred ninety million, six hundred sixty-nine thousand, nine hundred eighty-eight".