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214972368 = 24313379311
BaseRepresentation
bin11001101000000…
…11011111010000
3112222111201122120
430310003133100
5420013103433
633155334240
75220143412
oct1464033720
9488451576
10214972368
11100389a16
125bbb1380
13356ca1b0
142079c9b2
1513d157b3
hexcd037d0

214972368 has 80 divisors (see below), whose sum is σ = 614294016. Its totient is φ = 64350720.

The previous prime is 214972367. The next prime is 214972369. The reversal of 214972368 is 863279412.

It is an interprime number because it is at equal distance from previous prime (214972367) and next prime (214972369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214972367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18433 + ... + 27743.

Almost surely, 2214972368 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 214972368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307147008).

214972368 is an abundant number, since it is smaller than the sum of its proper divisors (399321648).

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

214972368 is a wasteful number, since it uses less digits than its factorization.

214972368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9366 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 214972368 is about 14661.9360249593. The cubic root of 214972368 is about 599.0469759322.

The spelling of 214972368 in words is "two hundred fourteen million, nine hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 9311 11544 18622 23088 27933 37244 55866 74488 111732 121043 148976 223464 242086 344507 363129 446928 484172 689014 726258 968344 1033521 1378028 1452516 1936688 2067042 2756056 2905032 4134084 4478591 5512112 5810064 8268168 8957182 13435773 16536336 17914364 26871546 35828728 53743092 71657456 107486184 214972368