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213114340 = 22527673851
BaseRepresentation
bin11001011001111…
…01110111100100
3112212000022220201
430230331313210
5414024124330
633051440244
75165304415
oct1454756744
9485008821
10213114340
11aa32aa5a
125b456084
13351c957a
142043780c
1513a99eca
hexcb3dde4

213114340 has 24 divisors (see below), whose sum is σ = 447818112. Its totient is φ = 85192800.

The previous prime is 213114299. The next prime is 213114371. The reversal of 213114340 is 43411312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53415 + ... + 57265.

It is an arithmetic number, because the mean of its divisors is an integer number (18659088).

Almost surely, 2213114340 is an apocalyptic number.

213114340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213114340 is an abundant number, since it is smaller than the sum of its proper divisors (234703772).

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

213114340 is a wasteful number, since it uses less digits than its factorization.

213114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213114340 is about 14598.4362176228. The cubic root of 213114340 is about 597.3161050062.

Adding to 213114340 its reverse (43411312), we get a palindrome (256525652).

It can be divided in two parts, 21311 and 4340, that added together give a triangular number (25651 = T226).

The spelling of 213114340 in words is "two hundred thirteen million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2767 3851 5534 7702 11068 13835 15404 19255 27670 38510 55340 77020 10655717 21311434 42622868 53278585 106557170 213114340