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214990881600 = 26352114071797
BaseRepresentation
bin1100100000111001110…
…1001000001101000000
3202112221002021101002110
43020032131020031000
512010300131202400
6242433200415320
721350450225115
oct3101635101500
9675832241073
10214990881600
11831a4825450
1235800017540
1317372cc4a11
14a59701090c
1558d4586e50
hex320e748340

214990881600 has 168 divisors, whose sum is σ = 769472098848. Its totient is φ = 52118988800.

The previous prime is 214990881569. The next prime is 214990881601. The reversal of 214990881600 is 6188099412.

214990881600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2149908816002 (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 self number, because there is not a number n which added to its sum of digits gives 214990881600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214990881601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983099 + ... + 2088698.

Almost surely, 2214990881600 is an apocalyptic number.

214990881600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214990881600 is an abundant number, since it is smaller than the sum of its proper divisors (554481217248).

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

214990881600 is a wasteful number, since it uses less digits than its factorization.

214990881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071833 (or 4071818 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 214990881600 in words is "two hundred fourteen billion, nine hundred ninety million, eight hundred eighty-one thousand, six hundred".