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214972472 = 23113131553
BaseRepresentation
bin11001101000000…
…11100000111000
3112222111201210102
430310003200320
5420013104342
633155334532
75220143621
oct1464034070
9488451712
10214972472
1110038a000
125bbb1448
13356ca260
142079ca48
1513d15832
hexcd03838

214972472 has 64 divisors (see below), whose sum is σ = 477761760. Its totient is φ = 90140160.

The previous prime is 214972423. The next prime is 214972487. The reversal of 214972472 is 274279412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137648 + ... + 139200.

Almost surely, 2214972472 is an apocalyptic number.

214972472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214972472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238880880).

214972472 is an abundant number, since it is smaller than the sum of its proper divisors (262789288).

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

214972472 is a wasteful number, since it uses less digits than its factorization.

214972472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1579 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 214972472 is about 14661.9395715574. The cubic root of 214972472 is about 599.0470725352.

The spelling of 214972472 in words is "two hundred fourteen million, nine hundred seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1331 1553 1573 2662 3106 3146 5324 6212 6292 10648 12424 12584 17083 17303 20189 34166 34606 40378 68332 69212 80756 136664 138424 161512 187913 222079 375826 444158 751652 888316 1503304 1776632 2067043 2442869 4134086 4885738 8268172 9771476 16536344 19542952 26871559 53743118 107486236 214972472