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2245678900 = 225253423713
BaseRepresentation
bin1000010111011010…
…0101011100110100
312210111122022022121
42011312211130310
514044343211100
61010500405324
7106435645543
oct20566453464
95714568277
102245678900
11a52699883
125280a6844
1329a335caa
1417436c15a
15d224151a
hex85da5734

2245678900 has 36 divisors (see below), whose sum is σ = 4965080652. Its totient is φ = 881320960.

The previous prime is 2245678891. The next prime is 2245678901. The reversal of 2245678900 is 98765422.

2245678900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 209323024 + 2036355876 = 14468^2 + 45126^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245678901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206557 + ... + 217156.

It is an arithmetic number, because the mean of its divisors is an integer number (137918907).

Almost surely, 22245678900 is an apocalyptic number.

2245678900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245678900 is an abundant number, since it is smaller than the sum of its proper divisors (2719401752).

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

2245678900 is a wasteful number, since it uses less digits than its factorization.

2245678900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423780 (or 423773 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2245678900 is about 47388.5946193807. The cubic root of 2245678900 is about 1309.5313087415.

The spelling of 2245678900 in words is "two billion, two hundred forty-five million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 423713 847426 1694852 2118565 4237130 8474260 10592825 21185650 22456789 42371300 44913578 89827156 112283945 224567890 449135780 561419725 1122839450 2245678900