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2200215264 = 253131762993
BaseRepresentation
bin1000001100100100…
…1001111011100000
312200100002111221020
42003021021323200
514001223342024
61002154125440
7105344343522
oct20311117340
95610074836
102200215264
11a29a67325
12514a20880
13290aa8630
1416c2d5a12
15cd260979
hex83249ee0

2200215264 has 48 divisors (see below), whose sum is σ = 6219842832. Its totient is φ = 676988928.

The previous prime is 2200215263. The next prime is 2200215287. The reversal of 2200215264 is 4625120022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200215263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880249 + ... + 882744.

It is an arithmetic number, because the mean of its divisors is an integer number (129580059).

Almost surely, 22200215264 is an apocalyptic number.

2200215264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2200215264 is an abundant number, since it is smaller than the sum of its proper divisors (4019627568).

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

2200215264 is a wasteful number, since it uses less digits than its factorization.

2200215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763019 (or 1763011 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2200215264 is about 46906.4522640542. The cubic root of 2200215264 is about 1300.6338652432.

Adding to 2200215264 its reverse (4625120022), we get a palindrome (6825335286).

The spelling of 2200215264 in words is "two billion, two hundred million, two hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1762993 3525986 5288979 7051972 10577958 14103944 21155916 22918909 28207888 42311832 45837818 56415776 68756727 84623664 91675636 137513454 169247328 183351272 275026908 366702544 550053816 733405088 1100107632 2200215264