Search a number
-
+
214181388 = 22336533037
BaseRepresentation
bin11001100010000…
…10011000001100
3112221000112122000
430301002120030
5414312301023
633130352300
75210340351
oct1461023014
9487015560
10214181388
11aa999713
125b88b690
13354b1165
1420634628
1513c0b243
hexcc4260c

214181388 has 48 divisors (see below), whose sum is σ = 556318560. Its totient is φ = 71260992.

The previous prime is 214181381. The next prime is 214181389. The reversal of 214181388 is 883181412.

214181388 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214181381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69006 + ... + 72042.

It is an arithmetic number, because the mean of its divisors is an integer number (11589970).

Almost surely, 2214181388 is an apocalyptic number.

It is an amenable number.

214181388 is an abundant number, since it is smaller than the sum of its proper divisors (342137172).

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

214181388 is a wasteful number, since it uses less digits than its factorization.

214181388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3695 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 214181388 is about 14634.9372393598. The cubic root of 214181388 is about 598.3113519046.

The spelling of 214181388 in words is "two hundred fourteen million, one hundred eighty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 653 1306 1959 2612 3037 3918 5877 6074 7836 9111 11754 12148 17631 18222 23508 27333 35262 36444 54666 70524 81999 109332 163998 327996 1983161 3966322 5949483 7932644 11898966 17848449 23797932 35696898 53545347 71393796 107090694 214181388