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214326640 = 24511243553
BaseRepresentation
bin11001100011001…
…01110101110000
3112221021220212201
430301211311300
5414331423030
633133432544
75211514003
oct1461456560
9487256781
10214326640
11aaa88860
125b93b754
13355322c8
142067153a
1513c392ca
hexcc65d70

214326640 has 40 divisors (see below), whose sum is σ = 543612528. Its totient is φ = 77936640.

The previous prime is 214326589. The next prime is 214326661. The reversal of 214326640 is 46623412.

214326640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2143266402 = 91871817227379200, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 214326599 and 214326608.

It is a congruent number.

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, 120897 + ... + 122656.

Almost surely, 2214326640 is an apocalyptic number.

214326640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214326640 is an abundant number, since it is smaller than the sum of its proper divisors (329285888).

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

214326640 is a wasteful number, since it uses less digits than its factorization.

214326640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243577 (or 243571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 214326640 is about 14639.8989067548. The cubic root of 214326640 is about 598.4465741772.

The spelling of 214326640 in words is "two hundred fourteen million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 243553 487106 974212 1217765 1948424 2435530 2679083 3896848 4871060 5358166 9742120 10716332 13395415 19484240 21432664 26790830 42865328 53581660 107163320 214326640