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2491412220 = 22325111774017
BaseRepresentation
bin1001010001111111…
…1110111011111100
320102122000212001200
42110133332323330
520100300142340
61051115335500
7115511440323
oct22437767374
96378025050
102491412220
111069378970
12596451590
1330921361b
14198c570ba
15e8ad1330
hex947feefc

2491412220 has 144 divisors (see below), whose sum is σ = 8729386848. Its totient is φ = 568442880.

The previous prime is 2491412207. The next prime is 2491412249. The reversal of 2491412220 is 222141942.

2491412220 is a `hidden beast` number, since 24 + 9 + 1 + 412 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349 + ... + 70668.

It is an arithmetic number, because the mean of its divisors is an integer number (60620742).

Almost surely, 22491412220 is an apocalyptic number.

2491412220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364693424).

2491412220 is an abundant number, since it is smaller than the sum of its proper divisors (6237974628).

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

2491412220 is a wasteful number, since it uses less digits than its factorization.

2491412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74060 (or 74055 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2491412220 is about 49914.0483230924. The cubic root of 2491412220 is about 1355.6529706884.

The spelling of 2491412220 in words is "two billion, four hundred ninety-one million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 74017 148034 222051 296068 370085 444102 666153 740170 814187 888204 1110255 1258289 1332306 1480340 1628374 2220510 2442561 2516578 2664612 3256748 3330765 3774867 4070935 4441020 4885122 5033156 6291445 6661530 7327683 7549734 8141870 9770244 11324601 12212805 12582890 13323060 13841179 14655366 15099468 16283740 18874335 22649202 24425610 25165780 27682358 29310732 36638415 37748670 41523537 45298404 48851220 55364716 56623005 69205895 73276830 75497340 83047074 113246010 124570611 138411790 146553660 166094148 207617685 226492020 249141222 276823580 415235370 498282444 622853055 830470740 1245706110 2491412220