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2208664480 = 255111773819
BaseRepresentation
bin1000001110100101…
…1000101110100000
312200220222210002011
42003221120232200
514010404230410
61003055202304
7105506224021
oct20351305640
95626883064
102208664480
11a33808350
12517816394
13292776379
1416d494c48
15cdd7e18a
hex83a58ba0

2208664480 has 96 divisors (see below), whose sum is σ = 6027255360. Its totient is φ = 755896320.

The previous prime is 2208664477. The next prime is 2208664487. The reversal of 2208664480 is 844668022.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2208664487) 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 15 ways as a sum of consecutive naturals, for example, 6990 + ... + 66829.

It is an arithmetic number, because the mean of its divisors is an integer number (62783910).

Almost surely, 22208664480 is an apocalyptic number.

2208664480 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 2208664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013627680).

2208664480 is an abundant number, since it is smaller than the sum of its proper divisors (3818590880).

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

2208664480 is a wasteful number, since it uses less digits than its factorization.

2208664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73862 (or 73854 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2208664480 is about 46996.4305027520. The cubic root of 2208664480 is about 1302.2966266981.

The spelling of 2208664480 in words is "two billion, two hundred eight million, six hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 73819 147638 295276 369095 590552 738190 812009 1181104 1254923 1476380 1624018 2362208 2509846 2952760 3248036 4060045 5019692 5905520 6274615 6496072 8120090 10039384 11811040 12549230 12992144 13804153 16240180 20078768 25098460 25984288 27608306 32480360 40157536 50196920 55216612 64960720 69020765 100393840 110433224 129921440 138041530 200787680 220866448 276083060 441732896 552166120 1104332240 2208664480