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2245057520 = 245432332801
BaseRepresentation
bin1000010111010000…
…1101101111110000
312210110110201221112
42011310031233300
514044213320040
61010435212452
7106430450126
oct20564155760
95713421845
102245057520
11a52304a42
12527a47128
1329a179204
14174249916
15d216c365
hex85d0dbf0

2245057520 has 80 divisors (see below), whose sum is σ = 5365986912. Its totient is φ = 873062400.

The previous prime is 2245057511. The next prime is 2245057571. The reversal of 2245057520 is 257505422.

2245057520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 800120 + ... + 802920.

Almost surely, 22245057520 is an apocalyptic number.

2245057520 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 2245057520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682993456).

2245057520 is an abundant number, since it is smaller than the sum of its proper divisors (3120929392).

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

2245057520 is a wasteful number, since it uses less digits than its factorization.

2245057520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 2245057520 is about 47382.0379468845. The cubic root of 2245057520 is about 1309.4105150359.

The spelling of 2245057520 in words is "two billion, two hundred forty-five million, fifty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 233 344 430 466 688 860 932 1165 1720 1864 2330 2801 3440 3728 4660 5602 9320 10019 11204 14005 18640 20038 22408 28010 40076 44816 50095 56020 80152 100190 112040 120443 160304 200380 224080 240886 400760 481772 602215 652633 801520 963544 1204430 1305266 1927088 2408860 2610532 3263165 4817720 5221064 6526330 9635440 10442128 13052660 26105320 28063219 52210640 56126438 112252876 140316095 224505752 280632190 449011504 561264380 1122528760 2245057520