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214249472 = 212192753
BaseRepresentation
bin11001100010100…
…11000000000000
3112221011000000122
430301103000000
5414321440342
633132035412
75211043013
oct1461230000
9487130018
10214249472
11aaa35888
125b902b68
1335506148
142065137a
1513c214d2
hexcc53000

214249472 has 52 divisors (see below), whose sum is σ = 451160280. Its totient is φ = 101449728.

The previous prime is 214249471. The next prime is 214249481. The reversal of 214249472 is 274942412.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (214249471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76448 + ... + 79200.

Almost surely, 2214249472 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 214249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225580140).

214249472 is an abundant number, since it is smaller than the sum of its proper divisors (236910808).

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

214249472 is an equidigital number, since it uses as much as digits as its factorization.

214249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2774 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 214249472 is about 14637.2631321569. The cubic root of 214249472 is about 598.3747422780.

The spelling of 214249472 in words is "two hundred fourteen million, two hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 2753 4096 4864 5506 9728 11012 19456 22024 38912 44048 52307 77824 88096 104614 176192 209228 352384 418456 704768 836912 1409536 1673824 2819072 3347648 5638144 6695296 11276288 13390592 26781184 53562368 107124736 214249472