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214136190 = 2335863919
BaseRepresentation
bin11001100001101…
…11010101111110
3112220221020122000
430300313111332
5414304324230
633125403130
75210061522
oct1460672576
9486836560
10214136190
11aa968764
125b8694a6
1335496708
1420621d82
1513becb60
hexcc3757e

214136190 has 64 divisors (see below), whose sum is σ = 572313600. Its totient is φ = 56974752.

The previous prime is 214136171. The next prime is 214136201. The reversal of 214136190 is 91631412.

214136190 is a `hidden beast` number, since 2 + 1 + 41 + 3 + 619 + 0 = 666.

It is a super-2 number, since 2×2141361902 = 91708615735432200, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 232551 + ... + 233469.

It is an arithmetic number, because the mean of its divisors is an integer number (8942400).

Almost surely, 2214136190 is an apocalyptic number.

214136190 is an abundant number, since it is smaller than the sum of its proper divisors (358177410).

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

214136190 is a wasteful number, since it uses less digits than its factorization.

214136190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 214136190 is about 14633.3929763401. The cubic root of 214136190 is about 598.2692623791.

The spelling of 214136190 in words is "two hundred fourteen million, one hundred thirty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 863 919 1726 1838 2589 2757 4315 4595 5178 5514 7767 8271 8630 9190 12945 13785 15534 16542 23301 24813 25890 27570 38835 41355 46602 49626 77670 82710 116505 124065 233010 248130 793097 1586194 2379291 3965485 4758582 7137873 7930970 11896455 14275746 21413619 23792910 35689365 42827238 71378730 107068095 214136190