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2215648864 = 2511133115619
BaseRepresentation
bin1000010000010000…
…0001111001100000
312201102010121212001
42010010001321200
514014201230424
61003505013344
7105622463452
oct20404017140
95642117761
102215648864
11a37748870
1251a024254
13294050440
141703922d2
15ce7ad844
hex84101e60

2215648864 has 96 divisors (see below), whose sum is σ = 5290306560. Its totient is φ = 899596800.

The previous prime is 2215648861. The next prime is 2215648867. The reversal of 2215648864 is 4688465122.

It is an interprime number because it is at equal distance from previous prime (2215648861) and next prime (2215648867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215648861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134047 + ... + 149665.

It is an arithmetic number, because the mean of its divisors is an integer number (55107360).

Almost surely, 22215648864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2215648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645153280).

2215648864 is an abundant number, since it is smaller than the sum of its proper divisors (3074657696).

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

2215648864 is a wasteful number, since it uses less digits than its factorization.

2215648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15676 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 2215648864 is about 47070.6794512253. The cubic root of 2215648864 is about 1303.6679182482.

The spelling of 2215648864 in words is "two billion, two hundred fifteen million, six hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 104 124 143 176 208 248 286 341 352 403 416 496 572 682 806 992 1144 1364 1612 2288 2728 3224 4433 4576 5456 6448 8866 10912 12896 15619 17732 31238 35464 62476 70928 124952 141856 171809 203047 249904 343618 406094 484189 499808 687236 812188 968378 1374472 1624376 1936756 2233517 2748944 3248752 3873512 4467034 5326079 5497888 6294457 6497504 7747024 8934068 10652158 12588914 15494048 17868136 21304316 25177828 35736272 42608632 50355656 69239027 71472544 85217264 100711312 138478054 170434528 201422624 276956108 553912216 1107824432 2215648864