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214169640 = 23352961543
BaseRepresentation
bin11001100001111…
…11100000101000
3112220222221111220
430300333200220
5414311412030
633130222040
75210261166
oct1460774050
9486887456
10214169640
11aa990903
125b884920
13354a89c9
1420630236
1513c07a10
hexcc3f828

214169640 has 64 divisors (see below), whose sum is σ = 664675200. Its totient is φ = 55141632.

The previous prime is 214169617. The next prime is 214169677. The reversal of 214169640 is 46961412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27292 + ... + 34251.

It is an arithmetic number, because the mean of its divisors is an integer number (10385550).

Almost surely, 2214169640 is an apocalyptic number.

214169640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214169640 is an abundant number, since it is smaller than the sum of its proper divisors (450505560).

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

214169640 is a wasteful number, since it uses less digits than its factorization.

214169640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61586 (or 61582 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 214169640 is about 14634.5358655476. The cubic root of 214169640 is about 598.3004124382.

The spelling of 214169640 in words is "two hundred fourteen million, one hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 61543 123086 184629 246172 307715 369258 492344 615430 738516 923145 1230860 1477032 1784747 1846290 2461720 3569494 3692580 5354241 7138988 7385160 8923735 10708482 14277976 17847470 21416964 26771205 35694940 42833928 53542410 71389880 107084820 214169640