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2191295040 = 263511207509
BaseRepresentation
bin1000001010011100…
…1000001001000000
312122201022022200120
42002213020021000
513441432420130
61001235020240
7105205462164
oct20247101100
95581268616
102191295040
11a24a24440
12511a3a680
1328bca43ac
1416b052ca4
15cc59c910
hex829c8240

2191295040 has 112 divisors (see below), whose sum is σ = 7589885760. Its totient is φ = 531220480.

The previous prime is 2191295011. The next prime is 2191295063. The reversal of 2191295040 is 405921912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2191294992 and 2191295010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93195 + ... + 114314.

Almost surely, 22191295040 is an apocalyptic number.

2191295040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2191295040 is an abundant number, since it is smaller than the sum of its proper divisors (5398590720).

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

2191295040 is a wasteful number, since it uses less digits than its factorization.

2191295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207540 (or 207530 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2191295040 is about 46811.2704377909. The cubic root of 2191295040 is about 1298.8737859629.

The spelling of 2191295040 in words is "two billion, one hundred ninety-one million, two hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 207509 415018 622527 830036 1037545 1245054 1660072 2075090 2282599 2490108 3112635 3320144 4150180 4565198 4980216 6225270 6640288 6847797 8300360 9130396 9960432 11412995 12450540 13280576 13695594 16600720 18260792 19920864 22825990 24901080 27391188 33201440 34238985 36521584 39841728 45651980 49802160 54782376 66402880 68477970 73043168 91303960 99604320 109564752 136955940 146086336 182607920 199208640 219129504 273911880 365215840 438259008 547823760 730431680 1095647520 2191295040