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2201312220 = 2235175320929
BaseRepresentation
bin1000001100110101…
…0101101111011100
312200102011020200020
42003031111233130
514002013442340
61002233432140
7105356562612
oct20315255734
95612136606
102201312220
11a2a6464a8
1251526b650
132910a0a13
1416c4dd6b2
15cd3ca9d0
hex83355bdc

2201312220 has 48 divisors (see below), whose sum is σ = 6167484960. Its totient is φ = 586653696.

The previous prime is 2201312219. The next prime is 2201312231. The reversal of 2201312220 is 222131022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201312220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94716 + ... + 115644.

It is an arithmetic number, because the mean of its divisors is an integer number (128489270).

Almost surely, 22201312220 is an apocalyptic number.

2201312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201312220 is an abundant number, since it is smaller than the sum of its proper divisors (3966172740).

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

2201312220 is a wasteful number, since it uses less digits than its factorization.

2201312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2201312220 is about 46918.1438251771. The cubic root of 2201312220 is about 1300.8499806241.

Adding to 2201312220 its reverse (222131022), we get a palindrome (2423443242).

The spelling of 2201312220 in words is "two billion, two hundred one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1753 3506 5259 7012 8765 10518 17530 20929 21036 26295 35060 41858 52590 62787 83716 104645 105180 125574 209290 251148 313935 418580 627870 1255740 36688537 73377074 110065611 146754148 183442685 220131222 366885370 440262444 550328055 733770740 1100656110 2201312220