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214774644 = 223722315881
BaseRepresentation
bin11001100110100…
…11001101110100
3112222010200102110
430303103031310
5414440242034
633151211020
75215361100
oct1463231564
9488120373
10214774644
11100264407
125bb16a70
133565b1b6
142074a900
1513cc6de9
hexccd3374

214774644 has 72 divisors (see below), whose sum is σ = 608344128. Its totient is φ = 58692480.

The previous prime is 214774601. The next prime is 214774649. The reversal of 214774644 is 446477412.

It is a happy number.

214774644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147746442 = 92256295410653472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214774649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5584 + ... + 21464.

It is an arithmetic number, because the mean of its divisors is an integer number (8449224).

Almost surely, 2214774644 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 214774644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304172064).

214774644 is an abundant number, since it is smaller than the sum of its proper divisors (393569484).

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

214774644 is a wasteful number, since it uses less digits than its factorization.

214774644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15925 (or 15916 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 214774644 is about 14655.1917080603. The cubic root of 214774644 is about 598.8632588371.

The spelling of 214774644 in words is "two hundred fourteen million, seven hundred seventy-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 13524 15881 31762 47643 63524 95286 111167 190572 222334 333501 365263 444668 667002 730526 778169 1095789 1334004 1461052 1556338 2191578 2334507 2556841 3112676 4383156 4669014 5113682 7670523 9338028 10227364 15341046 17897887 30682092 35795774 53693661 71591548 107387322 214774644