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216130440 = 23354738321
BaseRepresentation
bin11001110000111…
…10001110001000
3120001200120020010
430320132032020
5420312133230
633240231520
75233035621
oct1470361610
9501616203
10216130440
11100aaaaa9
126046b5a0
1335a14346
14209c0a48
1513e939b0
hexce1e388

216130440 has 64 divisors (see below), whose sum is σ = 662204160. Its totient is φ = 56407040.

The previous prime is 216130433. The next prime is 216130451. The reversal of 216130440 is 44031612.

It is an unprimeable number.

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, 13521 + ... + 24800.

It is an arithmetic number, because the mean of its divisors is an integer number (10346940).

Almost surely, 2216130440 is an apocalyptic number.

216130440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216130440 is an abundant number, since it is smaller than the sum of its proper divisors (446073720).

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

216130440 is a wasteful number, since it uses less digits than its factorization.

216130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38382 (or 38378 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 216130440 is about 14701.3754458554. The cubic root of 216130440 is about 600.1207534738.

The spelling of 216130440 in words is "two hundred sixteen million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 38321 76642 114963 153284 191605 229926 306568 383210 459852 574815 766420 919704 1149630 1532840 1801087 2299260 3602174 4598520 5403261 7204348 9005435 10806522 14408696 18010870 21613044 27016305 36021740 43226088 54032610 72043480 108065220 216130440