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2199465984 = 21231710529
BaseRepresentation
bin1000001100011001…
…0011000000000000
312200021200110010010
42003012103000000
514001030402414
61002130104520
7105335103162
oct20306230000
95607613103
102199465984
11a295a5391
1251471b140
132908a5581
1416c17c932
15cd163959
hex83193000

2199465984 has 104 divisors (see below), whose sum is σ = 6210088560. Its totient is φ = 689963008.

The previous prime is 2199465971. The next prime is 2199466019. The reversal of 2199465984 is 4895649912.

It is a super-2 number, since 2×21994659842 = 9675301229546176512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203632 + ... + 214160.

It is an arithmetic number, because the mean of its divisors is an integer number (59712390).

Almost surely, 22199465984 is an apocalyptic number.

2199465984 is a gapful number since it is divisible by the number (24) 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 2199465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105044280).

2199465984 is an abundant number, since it is smaller than the sum of its proper divisors (4010622576).

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

2199465984 is a wasteful number, since it uses less digits than its factorization.

2199465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573 (or 10551 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The square root of 2199465984 is about 46898.4646230556. The cubic root of 2199465984 is about 1300.4862055111.

It can be divided in two parts, 21994 and 65984, that added together give a palindrome (87978).

The spelling of 2199465984 in words is "two billion, one hundred ninety-nine million, four hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8704 10529 12288 13056 17408 21058 26112 31587 34816 42116 52224 63174 69632 84232 104448 126348 168464 178993 208896 252696 336928 357986 505392 536979 673856 715972 1010784 1073958 1347712 1431944 2021568 2147916 2695424 2863888 4043136 4295832 5390848 5727776 8086272 8591664 10781696 11455552 16172544 17183328 21563392 22911104 32345088 34366656 43126784 45822208 64690176 68733312 91644416 129380352 137466624 183288832 274933248 366577664 549866496 733155328 1099732992 2199465984