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214213906620 = 22325743159271
BaseRepresentation
bin1100011110000000100…
…1001101000010111100
3202110220221020221210100
43013200021031002330
512002202230002440
6242224123241100
721322264110000
oct3074011150274
9673827227710
10214213906620
118293619066a
1235623979190
131727b0440cc
14a521b5a700
15588b25c230
hex31e024d0bc

214213906620 has 720 divisors, whose sum is σ = 798685655040. Its totient is φ = 46408723200.

The previous prime is 214213906601. The next prime is 214213906633. The reversal of 214213906620 is 26609312412.

It is a happy number.

214213906620 is a `hidden beast` number, since 2 + 1 + 4 + 21 + 3 + 9 + 0 + 6 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 790457085 + ... + 790457355.

It is an arithmetic number, because the mean of its divisors is an integer number (1109285632).

Almost surely, 2214213906620 is an apocalyptic number.

214213906620 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 214213906620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399342827520).

214213906620 is an abundant number, since it is smaller than the sum of its proper divisors (584471748420).

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

214213906620 is a wasteful number, since it uses less digits than its factorization.

214213906620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 214213906620 in words is "two hundred fourteen billion, two hundred thirteen million, nine hundred six thousand, six hundred twenty".