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2200260480 = 273511104179
BaseRepresentation
bin1000001100100101…
…0100111110000000
312200100011210221220
42003021110332000
514001231313410
61002155115040
7105344622405
oct20311247600
95610153856
102200260480
11a29a982a0
12514a42a80
13290ac30a2
1416c3082ac
15cd26e070
hex83254f80

2200260480 has 128 divisors (see below), whose sum is σ = 7650979200. Its totient is φ = 533391360.

The previous prime is 2200260473. The next prime is 2200260527. The reversal of 2200260480 is 840620022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22002604802 = 9682292359699660800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2200260480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30970 + ... + 73209.

It is an arithmetic number, because the mean of its divisors is an integer number (59773275).

Almost surely, 22200260480 is an apocalyptic number.

2200260480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200260480 is an abundant number, since it is smaller than the sum of its proper divisors (5450718720).

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

2200260480 is a wasteful number, since it uses less digits than its factorization.

2200260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104212 (or 104200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2200260480 is about 46906.9342421779. The cubic root of 2200260480 is about 1300.6427748348.

The spelling of 2200260480 in words is "two billion, two hundred million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 104179 208358 312537 416716 520895 625074 833432 1041790 1145969 1250148 1562685 1666864 2083580 2291938 2500296 3125370 3333728 3437907 4167160 4583876 5000592 5729845 6250740 6667456 6875814 8334320 9167752 10001184 11459690 12501480 13334912 13751628 16668640 17189535 18335504 20002368 22919380 25002960 27503256 33337280 34379070 36671008 40004736 45838760 50005920 55006512 66674560 68758140 73342016 91677520 100011840 110013024 137516280 146684032 183355040 200023680 220026048 275032560 366710080 440052096 550065120 733420160 1100130240 2200260480