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2201012352 = 2735711919
BaseRepresentation
bin1000001100110000…
…1100100010000000
312200101121000100000
42003030030202000
514001424343402
61002223200000
7105354203430
oct20314144200
95611530300
102201012352
11a2a461180
12515146000
13290cc7396
1416c4622c0
15cd36bc1c
hex8330c880

2201012352 has 384 divisors, whose sum is σ = 8197862400. Its totient is φ = 571069440.

The previous prime is 2201012339. The next prime is 2201012371. The reversal of 2201012352 is 2532101022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394549 + ... + 2395467.

It is an arithmetic number, because the mean of its divisors is an integer number (21348600).

Almost surely, 22201012352 is an apocalyptic number.

2201012352 is a gapful number since it is divisible by the number (22) 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 2201012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098931200).

2201012352 is an abundant number, since it is smaller than the sum of its proper divisors (5996850048).

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

2201012352 is an equidigital number, since it uses as much as digits as its factorization.

2201012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2201012352 is about 46914.9480656219. The cubic root of 2201012352 is about 1300.7909096463.

Adding to 2201012352 its reverse (2532101022), we get a palindrome (4733113374).

The spelling of 2201012352 in words is "two billion, two hundred one million, twelve thousand, three hundred fifty-two".