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214421634 = 2337599947
BaseRepresentation
bin11001100011111…
…01000010000010
3112221110202012000
430301331002002
5414342443014
633135444430
75212360650
oct1461750202
9487422160
10214421634
11100043169
125b986716
133556660b
1420697dd0
1513c57509
hexcc7d082

214421634 has 64 divisors (see below), whose sum is σ = 546048000. Its totient is φ = 61096464.

The previous prime is 214421611. The next prime is 214421671. The reversal of 214421634 is 436124412.

It is a happy number.

214421634 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 21 + 634 = 666.

214421634 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 214421598 and 214421607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225949 + ... + 226895.

It is an arithmetic number, because the mean of its divisors is an integer number (8532000).

Almost surely, 2214421634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214421634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273024000).

214421634 is an abundant number, since it is smaller than the sum of its proper divisors (331626366).

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

214421634 is a wasteful number, since it uses less digits than its factorization.

214421634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 214421634 is about 14643.1429003476. The cubic root of 214421634 is about 598.5349757514.

The spelling of 214421634 in words is "two hundred fourteen million, four hundred twenty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 599 947 1198 1797 1894 2841 3594 4193 5391 5682 6629 8386 8523 10782 12579 13258 16173 17046 19887 25158 25569 32346 37737 39774 51138 59661 75474 113211 119322 178983 226422 357966 567253 1134506 1701759 3403518 3970771 5105277 7941542 10210554 11912313 15315831 23824626 30631662 35736939 71473878 107210817 214421634