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214526949 = 374132979
BaseRepresentation
bin11001100100101…
…10101111100101
3112221200002122120
430302112233211
5414404330244
633142020153
75213310000
oct1462265745
9487602576
10214526949
111001052aa
125ba17659
13355a2530
14206c4537
1513c78819
hexcc96be5

214526949 has 80 divisors (see below), whose sum is σ = 376454400. Its totient is φ = 107872128.

The previous prime is 214526947. The next prime is 214526951. The reversal of 214526949 is 949625412.

It is an interprime number because it is at equal distance from previous prime (214526947) and next prime (214526951).

It is not a de Polignac number, because 214526949 - 21 = 214526947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214526949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214526947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2715492 + ... + 2715570.

It is an arithmetic number, because the mean of its divisors is an integer number (4705680).

Almost surely, 2214526949 is an apocalyptic number.

214526949 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

214526949 is a deficient number, since it is larger than the sum of its proper divisors (161927451).

214526949 is an equidigital number, since it uses as much as digits as its factorization.

214526949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 214526949 is about 14646.7385106719. The cubic root of 214526949 is about 598.6329515520.

The spelling of 214526949 in words is "two hundred fourteen million, five hundred twenty-six thousand, nine hundred forty-nine".

Divisors: 1 3 7 13 21 29 39 49 79 87 91 147 203 237 273 343 377 553 609 637 1027 1029 1131 1421 1659 1911 2291 2401 2639 3081 3871 4263 4459 6873 7189 7203 7917 9947 11613 13377 16037 18473 21567 27097 29783 29841 31213 48111 50323 55419 69629 81291 89349 93639 112259 129311 150969 189679 208481 208887 336777 352261 387933 569037 625443 785813 905177 1056783 1459367 2357439 2465827 2715531 4378101 5500691 7397481 10215569 16502073 30646707 71508983 214526949