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214823340 = 22345132607
BaseRepresentation
bin11001100110111…
…11000110101100
3112222020011020000
430303133012230
5414443321330
633152224300
75215653054
oct1463370654
9488204200
10214823340
11100297a56
125bb3b090
1335677404
1420760564
1513cd6560
hexccdf1ac

214823340 has 60 divisors (see below), whose sum is σ = 673913856. Its totient is φ = 57285792.

The previous prime is 214823327. The next prime is 214823353. The reversal of 214823340 is 43328412.

It is an interprime number because it is at equal distance from previous prime (214823327) and next prime (214823353).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2148233402 = 92298134817511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64684 + ... + 67923.

Almost surely, 2214823340 is an apocalyptic number.

214823340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214823340 is an abundant number, since it is smaller than the sum of its proper divisors (459090516).

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

214823340 is a wasteful number, since it uses less digits than its factorization.

214823340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132628 (or 132617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214823340 is about 14656.8530046528. The cubic root of 214823340 is about 598.9085156405.

The spelling of 214823340 in words is "two hundred fourteen million, eight hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 132607 265214 397821 530428 663035 795642 1193463 1326070 1591284 1989105 2386926 2652140 3580389 3978210 4773852 5967315 7160778 7956420 10741167 11934630 14321556 17901945 21482334 23869260 35803890 42964668 53705835 71607780 107411670 214823340