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214422912 = 27321116921
BaseRepresentation
bin11001100011111…
…01010110000000
3112221110210221100
430301331112000
5414343013122
633135454400
75212364454
oct1461752600
9487423840
10214422912
11100044120
125b987400
1335567082
1420698664
1513c57aac
hexcc7d580

214422912 has 96 divisors (see below), whose sum is σ = 673157160. Its totient is φ = 64972800.

The previous prime is 214422889. The next prime is 214422919. The reversal of 214422912 is 219224412.

It is a tau number, because it is divible by the number of its divisors (96).

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 (214422919) 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 11 ways as a sum of consecutive naturals, for example, 4212 + ... + 21132.

Almost surely, 2214422912 is an apocalyptic number.

214422912 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 214422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336578580).

214422912 is an abundant number, since it is smaller than the sum of its proper divisors (458734248).

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

214422912 is a wasteful number, since it uses less digits than its factorization.

214422912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16952 (or 16937 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 214422912 is about 14643.1865384554. The cubic root of 214422912 is about 598.5361648823.

The spelling of 214422912 in words is "two hundred fourteen million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 16921 33842 50763 67684 101526 135368 152289 186131 203052 270736 304578 372262 406104 541472 558393 609156 744524 812208 1082944 1116786 1218312 1489048 1624416 1675179 2165888 2233572 2436624 2978096 3248832 3350358 4467144 4873248 5956192 6497664 6700716 8934288 9746496 11912384 13401432 17868576 19492992 23824768 26802864 35737152 53605728 71474304 107211456 214422912