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214964388 = 223317191613
BaseRepresentation
bin11001101000000…
…01100010100100
3112222111022201000
430310001202210
5420012330023
633155233300
75220111222
oct1464014244
9488438630
10214964388
11100383a21
125bba8830
13356c6682
1420799b12
1513d13243
hexcd018a4

214964388 has 96 divisors (see below), whose sum is σ = 594155520. Its totient is φ = 66977280.

The previous prime is 214964383. The next prime is 214964389. The reversal of 214964388 is 883469412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214964381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350370 + ... + 350982.

It is an arithmetic number, because the mean of its divisors is an integer number (6189120).

Almost surely, 2214964388 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 214964388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297077760).

214964388 is an abundant number, since it is smaller than the sum of its proper divisors (379191132).

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

214964388 is a wasteful number, since it uses less digits than its factorization.

214964388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 214964388 is about 14661.6638892044. The cubic root of 214964388 is about 599.0395634230.

The spelling of 214964388 in words is "two hundred fourteen million, nine hundred sixty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 191 204 306 382 459 573 612 613 764 918 1146 1226 1719 1836 1839 2292 2452 3247 3438 3678 5157 5517 6494 6876 7356 9741 10314 10421 11034 12988 16551 19482 20628 20842 22068 29223 31263 33102 38964 41684 58446 62526 66204 87669 93789 116892 117083 125052 175338 187578 234166 281367 350676 351249 375156 468332 562734 702498 1053747 1125468 1404996 1990411 2107494 3161241 3980822 4214988 5971233 6322482 7961644 11942466 12644964 17913699 23884932 35827398 53741097 71654796 107482194 214964388