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214139268 = 223371911483
BaseRepresentation
bin11001100001110…
…00000110000100
3112220221101212000
430300320012010
5414304424033
633125425300
75210103510
oct1460700604
9486841760
10214139268
11aa970002
125b86b230
1335497c35
1420623140
1513beda13
hexcc38184

214139268 has 96 divisors (see below), whose sum is σ = 638238720. Its totient is φ = 60821280.

The previous prime is 214139267. The next prime is 214139273. The reversal of 214139268 is 862931412.

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 (214139267) 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, 143655 + ... + 145137.

It is an arithmetic number, because the mean of its divisors is an integer number (6648320).

Almost surely, 2214139268 is an apocalyptic number.

214139268 is a gapful number since it is divisible by the number (28) 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 214139268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319119360).

214139268 is an abundant number, since it is smaller than the sum of its proper divisors (424099452).

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

214139268 is a wasteful number, since it uses less digits than its factorization.

214139268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 214139268 is about 14633.4981463763. The cubic root of 214139268 is about 598.2721288788.

The spelling of 214139268 in words is "two hundred fourteen million, one hundred thirty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 191 252 378 382 573 756 764 1146 1337 1483 1719 2292 2674 2966 3438 4011 4449 5157 5348 5932 6876 8022 8898 10314 10381 12033 13347 16044 17796 20628 20762 24066 26694 31143 36099 40041 41524 48132 53388 62286 72198 80082 93429 124572 144396 160164 186858 280287 283253 373716 560574 566506 849759 1121148 1133012 1699518 1982771 2549277 3399036 3965542 5098554 5948313 7647831 7931084 10197108 11896626 15295662 17844939 23793252 30591324 35689878 53534817 71379756 107069634 214139268