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2202030320 = 245729135593
BaseRepresentation
bin1000001101000000…
…0101000011110000
312200110111201201112
42003100011003300
514002204432240
61002301052452
7105365643320
oct20320050360
95613451645
102202030320
11a2aa96a76
12515557128
13291292829
1416c649280
15cd4bd665
hex834050f0

2202030320 has 80 divisors (see below), whose sum is σ = 6052916160. Its totient is φ = 728942592.

The previous prime is 2202030293. The next prime is 2202030331. The reversal of 2202030320 is 230302022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2202030295 and 2202030304.

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, 51557 + ... + 84036.

It is an arithmetic number, because the mean of its divisors is an integer number (75661452).

Almost surely, 22202030320 is an apocalyptic number.

2202030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202030320 is an abundant number, since it is smaller than the sum of its proper divisors (3850885840).

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

2202030320 is a wasteful number, since it uses less digits than its factorization.

2202030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135642 (or 135636 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2202030320 is about 46925.7958909596. The cubic root of 2202030320 is about 1300.9914172945.

Adding to 2202030320 its reverse (230302022), we get a palindrome (2432332342).

The spelling of 2202030320 in words is "two billion, two hundred two million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 135593 271186 542372 677965 949151 1084744 1355930 1898302 2169488 2711860 3796604 3932197 4745755 5423720 7593208 7864394 9491510 10847440 15186416 15728788 18983020 19660985 27525379 31457576 37966040 39321970 55050758 62915152 75932080 78643940 110101516 137626895 157287880 220203032 275253790 314575760 440406064 550507580 1101015160 2202030320