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214305332 = 221719374483
BaseRepresentation
bin11001100011000…
…00101000110100
3112221020211122112
430301200220310
5414330232312
633133150152
75211364613
oct1461405064
9487224575
10214305332
11aaa7384a
125b92b358
13355256b7
142066787a
1513c32d22
hexcc60a34

214305332 has 48 divisors (see below), whose sum is σ = 429387840. Its totient is φ = 92938752.

The previous prime is 214305323. The next prime is 214305347. The reversal of 214305332 is 233503412.

It is a junction number, because it is equal to n+sod(n) for n = 214305298 and 214305307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45563 + ... + 50045.

It is an arithmetic number, because the mean of its divisors is an integer number (8945580).

Almost surely, 2214305332 is an apocalyptic number.

It is an amenable number.

214305332 is an abundant number, since it is smaller than the sum of its proper divisors (215082508).

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

214305332 is a wasteful number, since it uses less digits than its factorization.

214305332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 214305332 is about 14639.1711514006. The cubic root of 214305332 is about 598.4267413305.

Adding to 214305332 its reverse (233503412), we get a palindrome (447808744).

It can be divided in two parts, 21430 and 5332, that added together give a palindrome (26762).

The spelling of 214305332 in words is "two hundred fourteen million, three hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 17 19 34 37 38 68 74 76 148 323 629 646 703 1258 1292 1406 2516 2812 4483 8966 11951 17932 23902 47804 76211 85177 152422 165871 170354 304844 331742 340708 663484 1448009 2819807 2896018 3151549 5639614 5792036 6303098 11279228 12606196 53576333 107152666 214305332