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2216125520 = 245731127657
BaseRepresentation
bin1000010000010111…
…0110010001010000
312201110000211200222
42010011312101100
514014312004040
61003523132212
7105626520230
oct20405662120
95643024628
102216125520
11a37a439a4
1251a214068
1329418939b
14170477cc0
15ce854bb5
hex84176450

2216125520 has 80 divisors (see below), whose sum is σ = 6078563328. Its totient is φ = 735298560.

The previous prime is 2216125507. The next prime is 2216125523. The reversal of 2216125520 is 255216122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22161255202 = 9822424640790540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2216125520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216125523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46469 + ... + 81188.

Almost surely, 22216125520 is an apocalyptic number.

2216125520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216125520 is an abundant number, since it is smaller than the sum of its proper divisors (3862437808).

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

2216125520 is a wasteful number, since it uses less digits than its factorization.

2216125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127708 (or 127702 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2216125520 is about 47075.7423733285. The cubic root of 2216125520 is about 1303.7613982501.

The spelling of 2216125520 in words is "two billion, two hundred sixteen million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 127657 255314 510628 638285 893599 1021256 1276570 1787198 2042512 2553140 3574396 3957367 4467995 5106280 7148792 7914734 8935990 10212560 14297584 15829468 17871980 19786835 27701569 31658936 35743960 39573670 55403138 63317872 71487920 79147340 110806276 138507845 158294680 221612552 277015690 316589360 443225104 554031380 1108062760 2216125520