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2302272040 = 235315931469
BaseRepresentation
bin1000100100111001…
…1110001000101000
312221110010112111211
42021032132020220
514203340201130
61020241402504
7111023663245
oct21116361050
95843115454
102302272040
11a81633072
12543039434
132a8c8c363
1417baa05cc
15d71bea2a
hex8939e228

2302272040 has 64 divisors (see below), whose sum is σ = 5438016000. Its totient is φ = 876069120.

The previous prime is 2302272031. The next prime is 2302272041. The reversal of 2302272040 is 402722032.

It is not an unprimeable number, because it can be changed into a prime (2302272041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57426 + ... + 88894.

It is an arithmetic number, because the mean of its divisors is an integer number (84969000).

Almost surely, 22302272040 is an apocalyptic number.

2302272040 is a gapful number since it is divisible by the number (20) 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 2302272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719008000).

2302272040 is an abundant number, since it is smaller than the sum of its proper divisors (3135743960).

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

2302272040 is a wasteful number, since it uses less digits than its factorization.

2302272040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31570 (or 31566 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 2302272040 is about 47981.9970405568. The cubic root of 2302272040 is about 1320.4406318975.

Adding to 2302272040 its reverse (402722032), we get a palindrome (2704994072).

The spelling of 2302272040 in words is "two billion, three hundred two million, two hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1829 2360 3658 7316 9145 14632 18290 31469 36580 62938 73160 125876 157345 251752 314690 629380 975539 1258760 1856671 1951078 3713342 3902156 4877695 7426684 7804312 9283355 9755390 14853368 18566710 19510780 37133420 39021560 57556801 74266840 115113602 230227204 287784005 460454408 575568010 1151136020 2302272040