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214770332 = 22721915737
BaseRepresentation
bin11001100110100…
…10001010011100
3112222010110111202
430303102022130
5414440122312
633151135032
75215342400
oct1463221234
9488113452
10214770332
11100261147
125bb14478
133565924a
1420749100
1513cc59c2
hexccd229c

214770332 has 36 divisors (see below), whose sum is σ = 439576704. Its totient is φ = 91546560.

The previous prime is 214770329. The next prime is 214770371. The reversal of 214770332 is 233077412.

It is a super-2 number, since 2×2147703322 = 92252591014780448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214770295 and 214770304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34568 + ... + 40304.

It is an arithmetic number, because the mean of its divisors is an integer number (12210464).

Almost surely, 2214770332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214770332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219788352).

214770332 is an abundant number, since it is smaller than the sum of its proper divisors (224806372).

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

214770332 is a wasteful number, since it uses less digits than its factorization.

214770332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 214770332 is about 14655.0445922215. The cubic root of 214770332 is about 598.8592510461.

The spelling of 214770332 in words is "two hundred fourteen million, seven hundred seventy thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 191 196 382 764 1337 2674 5348 5737 9359 11474 18718 22948 37436 40159 80318 160636 281113 562226 1095767 1124452 2191534 4383068 7670369 15340738 30681476 53692583 107385166 214770332