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14214948 = 22311113953
BaseRepresentation
bin110110001110…
…011100100100
3222202012020120
4312032130210
512114334243
61224401540
7231552666
oct66163444
928665216
1014214948
1180299a0
1249162b0
132c39217
141c60536
1513abc83
hexd8e724

14214948 has 48 divisors (see below), whose sum is σ = 36542016. Its totient is φ = 4264960.

The previous prime is 14214923. The next prime is 14214953. The reversal of 14214948 is 84941241.

14214948 is digitally balanced in base 2 and base 4, because in such bases 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14440 + ... + 15392.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 214214948 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 14214948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271008).

14214948 is an abundant number, since it is smaller than the sum of its proper divisors (22327068).

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

14214948 is a wasteful number, since it uses less digits than its factorization.

14214948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1082 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 14214948 is about 3770.2716082532. The cubic root of 14214948 is about 242.2414319822.

The spelling of 14214948 in words is "fourteen million, two hundred fourteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 953 1243 1356 1906 2486 2859 3729 3812 4972 5718 7458 10483 11436 14916 20966 31449 41932 62898 107689 125796 215378 323067 430756 646134 1184579 1292268 2369158 3553737 4738316 7107474 14214948