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214211952 = 2434165287
BaseRepresentation
bin11001100010010…
…01110101110000
3112221002002120000
430301021311300
5414314240302
633131150000
75210525433
oct1461116560
9487062500
10214211952
11aaa0a679
125b8a5300
13354c2046
142064181a
1513c1531c
hexcc49d70

214211952 has 50 divisors (see below), whose sum is σ = 619995288. Its totient is φ = 71403552.

The previous prime is 214211941. The next prime is 214211969. The reversal of 214211952 is 259112412.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 81348 + ... + 83939.

Almost surely, 2214211952 is an apocalyptic number.

It is an amenable number.

214211952 is an abundant number, since it is smaller than the sum of its proper divisors (405783336).

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

214211952 is a wasteful number, since it uses less digits than its factorization.

214211952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165307 (or 165292 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 214211952 is about 14635.9814156755. The cubic root of 214211952 is about 598.3398105217.

The spelling of 214211952 in words is "two hundred fourteen million, two hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 165287 330574 495861 661148 991722 1322296 1487583 1983444 2644592 2975166 3966888 4462749 5950332 7933776 8925498 11900664 13388247 17850996 23801328 26776494 35701992 53552988 71403984 107105976 214211952