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214951350 = 235213110939
BaseRepresentation
bin11001100111111…
…10010110110110
3112222110122211010
430303332112312
5420011420400
633155053050
75220025215
oct1463762666
9488418733
10214951350
11100375149
125bba1186
13356c0763
142079507c
1513d0e450
hexccfe5b6

214951350 has 48 divisors (see below), whose sum is σ = 537197760. Its totient is φ = 56877600.

The previous prime is 214951333. The next prime is 214951357. The reversal of 214951350 is 53159412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214951357) 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, 14181 + ... + 25119.

It is an arithmetic number, because the mean of its divisors is an integer number (11191620).

Almost surely, 2214951350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214951350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268598880).

214951350 is an abundant number, since it is smaller than the sum of its proper divisors (322246410).

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

214951350 is a wasteful number, since it uses less digits than its factorization.

214951350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 214951350 is about 14661.2192535273. The cubic root of 214951350 is about 599.0274522142.

The spelling of 214951350 in words is "two hundred fourteen million, nine hundred fifty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 655 786 1310 1965 3275 3930 6550 9825 10939 19650 21878 32817 54695 65634 109390 164085 273475 328170 546950 820425 1433009 1640850 2866018 4299027 7165045 8598054 14330090 21495135 35825225 42990270 71650450 107475675 214951350