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2215041140 = 22513311991381
BaseRepresentation
bin1000010000000110…
…1101100001110100
312201100222202012202
42010001231201310
514014022304030
61003444004032
7105614352614
oct20401554164
95640882182
102215041140
11a37373214
12519990618
13293b99940
14170274a44
15ce6dd745
hex8406d874

2215041140 has 96 divisors (see below), whose sum is σ = 5200742400. Its totient is φ = 786931200.

The previous prime is 2215041139. The next prime is 2215041161. The reversal of 2215041140 is 411405122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1603250 + ... + 1604630.

It is an arithmetic number, because the mean of its divisors is an integer number (54174400).

Almost surely, 22215041140 is an apocalyptic number.

2215041140 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 2215041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600371200).

2215041140 is an abundant number, since it is smaller than the sum of its proper divisors (2985701260).

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

2215041140 is a wasteful number, since it uses less digits than its factorization.

2215041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2215041140 is about 47064.2235673765. The cubic root of 2215041140 is about 1303.5487142320.

Adding to 2215041140 its reverse (411405122), we get a palindrome (2626446262).

The spelling of 2215041140 in words is "two billion, two hundred fifteen million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 199 260 310 398 403 620 796 806 995 1381 1612 1990 2015 2587 2762 3980 4030 5174 5524 6169 6905 8060 10348 12338 12935 13810 17953 24676 25870 27620 30845 35906 42811 51740 61690 71812 80197 85622 89765 123380 160394 171244 179530 214055 274819 320788 359060 400985 428110 549638 556543 801970 856220 1099276 1113086 1374095 1603940 2226172 2748190 2782715 3572647 5496380 5565430 7145294 8519389 11130860 14290588 17038778 17863235 34077556 35726470 42596945 71452940 85193890 110752057 170387780 221504114 443008228 553760285 1107520570 2215041140