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2202020352 = 29327193593
BaseRepresentation
bin1000001101000000…
…0010101000000000
312200110111020001100
42003100002220000
514002204122402
61002300534400
7105365602260
oct20320025000
95613436040
102202020352
11a2aa8a534
12515551400
1329128b12c
1416c6457a0
15cd4ba71c
hex83402a00

2202020352 has 240 divisors, whose sum is σ = 7647456960. Its totient is φ = 595869696.

The previous prime is 2202020339. The next prime is 2202020369. The reversal of 2202020352 is 2530202022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611068 + ... + 614660.

It is an arithmetic number, because the mean of its divisors is an integer number (31864404).

Almost surely, 22202020352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823728480).

2202020352 is an abundant number, since it is smaller than the sum of its proper divisors (5445436608).

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

2202020352 is a wasteful number, since it uses less digits than its factorization.

2202020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2202020352 is about 46925.6896806003. The cubic root of 2202020352 is about 1300.9894542120.

Adding to 2202020352 its reverse (2530202022), we get a palindrome (4732222374).

The spelling of 2202020352 in words is "two billion, two hundred two million, twenty thousand, three hundred fifty-two".