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214922201130 = 232572133124783
BaseRepresentation
bin1100100000101001011…
…1001000100000101010
3202112202022001001012100
43020022113020200222
512010130040414010
6242422304354230
721345654365400
oct3101227104052
9675668031170
10214922201130
1183169a8582a
12357a1015976
13173619c89a0
14a58bc53470
1558cd51c2c0
hex320a5c882a

214922201130 has 864 divisors, whose sum is σ = 747633100032. Its totient is φ = 42432284160.

The previous prime is 214922201119. The next prime is 214922201147. The reversal of 214922201130 is 31102229412.

214922201130 is a `hidden beast` number, since 21 + 492 + 2 + 20 + 1 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214922201094 and 214922201103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2589424069 + ... + 2589424151.

It is an arithmetic number, because the mean of its divisors is an integer number (865316088).

Almost surely, 2214922201130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214922201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373816550016).

214922201130 is an abundant number, since it is smaller than the sum of its proper divisors (532710898902).

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

214922201130 is a wasteful number, since it uses less digits than its factorization.

214922201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 214922201130 in words is "two hundred fourteen billion, nine hundred twenty-two million, two hundred one thousand, one hundred thirty".