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214493340 = 223531115319
BaseRepresentation
bin11001100100011…
…10100010011100
3112221121101112210
430302032202130
5414402241330
633141200420
75213110005
oct1462164234
9487541483
10214493340
11100092026
125ba00110
1335590149
14206b61ac
1513c6d8b0
hexcc8e89c

214493340 has 48 divisors (see below), whose sum is σ = 619960320. Its totient is φ = 55352640.

The previous prime is 214493339. The next prime is 214493347. The reversal of 214493340 is 43394412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214493298 and 214493307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214493347) by changing a digit.

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, 55800 + ... + 59519.

It is an arithmetic number, because the mean of its divisors is an integer number (12915840).

Almost surely, 2214493340 is an apocalyptic number.

214493340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214493340 is an abundant number, since it is smaller than the sum of its proper divisors (405466980).

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

214493340 is a wasteful number, since it uses less digits than its factorization.

214493340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115362 (or 115360 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 214493340 is about 14645.5911454608. The cubic root of 214493340 is about 598.6016881828.

The spelling of 214493340 in words is "two hundred fourteen million, four hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 115319 230638 345957 461276 576595 691914 1153190 1383828 1729785 2306380 3459570 3574889 6919140 7149778 10724667 14299556 17874445 21449334 35748890 42898668 53623335 71497780 107246670 214493340