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2245523120 = 245231220393
BaseRepresentation
bin1000010111010111…
…1111011010110000
312210111100101121222
42011311333122300
514044323214440
61010453204212
7106434426431
oct20565773260
95714311558
102245523120
11a525a2835
12528030668
1329a2b0109
1417432b488
15d22102b5
hex85d7f6b0

2245523120 has 40 divisors (see below), whose sum is σ = 5447838816. Its totient is φ = 859155968.

The previous prime is 2245523083. The next prime is 2245523123. The reversal of 2245523120 is 213255422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2245523120.

It is not an unprimeable number, because it can be changed into a prime (2245523123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608357 + ... + 612036.

Almost surely, 22245523120 is an apocalyptic number.

2245523120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245523120 is an abundant number, since it is smaller than the sum of its proper divisors (3202315696).

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

2245523120 is a wasteful number, since it uses less digits than its factorization.

2245523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220429 (or 1220423 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2245523120 is about 47386.9509464367. The cubic root of 2245523120 is about 1309.5010278460.

Adding to 2245523120 its reverse (213255422), we get a palindrome (2458778542).

The spelling of 2245523120 in words is "two billion, two hundred forty-five million, five hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1220393 2440786 4881572 6101965 9763144 12203930 19526288 24407860 28069039 48815720 56138078 97631440 112276156 140345195 224552312 280690390 449104624 561380780 1122761560 2245523120