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2200005380 = 225731977649
BaseRepresentation
bin1000001100100001…
…0110101100000100
312200022200212000202
42003020112230010
514001200133010
61002145430032
7105342510566
oct20310265404
95608625022
102200005380
11a29933671
1251493b318
13290a33c41
1416c27d336
15cd21d6a5
hex83216b04

2200005380 has 48 divisors (see below), whose sum is σ = 4707687600. Its totient is φ = 863428608.

The previous prime is 2200005341. The next prime is 2200005397. The reversal of 2200005380 is 835000022.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 2199985216 = 142^2 + 46904^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283796 + ... + 291444.

It is an arithmetic number, because the mean of its divisors is an integer number (98076825).

Almost surely, 22200005380 is an apocalyptic number.

2200005380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200005380 is an abundant number, since it is smaller than the sum of its proper divisors (2507682220).

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

2200005380 is a wasteful number, since it uses less digits than its factorization.

2200005380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2200005380 is about 46904.2149491919. The cubic root of 2200005380 is about 1300.5925070296.

The spelling of 2200005380 in words is "two billion, two hundred million, five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 197 292 365 394 730 788 985 1460 1970 3940 7649 14381 15298 28762 30596 38245 57524 71905 76490 143810 152980 287620 558377 1116754 1506853 2233508 2791885 3013706 5583770 6027412 7534265 11167540 15068530 30137060 110000269 220000538 440001076 550001345 1100002690 2200005380