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214772448 = 25311203383
BaseRepresentation
bin11001100110100…
…10101011100000
3112222010120102010
430303102223200
5414440204243
633151152520
75215351512
oct1463225340
9488116363
10214772448
111002627a0
125bb15740
133565a1b7
1420749bb2
1513cc6433
hexccd2ae0

214772448 has 48 divisors (see below), whose sum is σ = 615033216. Its totient is φ = 65082240.

The previous prime is 214772443. The next prime is 214772477. The reversal of 214772448 is 844277412.

It is a happy number.

214772448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2147724482 = 92254408839825408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214772443) 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 7 ways as a sum of consecutive naturals, for example, 100636 + ... + 102747.

It is an arithmetic number, because the mean of its divisors is an integer number (12813192).

Almost surely, 2214772448 is an apocalyptic number.

It is an amenable number.

214772448 is an abundant number, since it is smaller than the sum of its proper divisors (400260768).

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

214772448 is a wasteful number, since it uses less digits than its factorization.

214772448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203407 (or 203399 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 214772448 is about 14655.1167856145. The cubic root of 214772448 is about 598.8612177702.

The spelling of 214772448 in words is "two hundred fourteen million, seven hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 203383 406766 610149 813532 1220298 1627064 2237213 2440596 3254128 4474426 4881192 6508256 6711639 8948852 9762384 13423278 17897704 19524768 26846556 35795408 53693112 71590816 107386224 214772448