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214442160 = 2435893509
BaseRepresentation
bin11001100100000…
…10000010110000
3112221111210100020
430302002002300
5414344122120
633140123440
75212504542
oct1462020260
9487453306
10214442160
11100057629
125b996580
1335572a6a
14206a1692
1513c5d640
hexcc820b0

214442160 has 40 divisors (see below), whose sum is σ = 664771440. Its totient is φ = 57184512.

The previous prime is 214442149. The next prime is 214442191. The reversal of 214442160 is 61244412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214442160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446515 + ... + 446994.

It is an arithmetic number, because the mean of its divisors is an integer number (16619286).

Almost surely, 2214442160 is an apocalyptic number.

214442160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214442160 is an abundant number, since it is smaller than the sum of its proper divisors (450329280).

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

214442160 is a wasteful number, since it uses less digits than its factorization.

214442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893525 (or 893519 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214442160 is about 14643.8437577024. The cubic root of 214442160 is about 598.5540738506.

Adding to 214442160 its reverse (61244412), we get a palindrome (275686572).

The spelling of 214442160 in words is "two hundred fourteen million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 893509 1787018 2680527 3574036 4467545 5361054 7148072 8935090 10722108 13402635 14296144 17870180 21444216 26805270 35740360 42888432 53610540 71480720 107221080 214442160