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2245480 = 23573769
BaseRepresentation
bin1000100100001101101000
311020002012221
420210031220
51033323410
6120043424
725041406
oct10441550
94202187
102245480
1112a4076
12903574
136080b3
14426476
152e54da
hex224368

2245480 has 32 divisors (see below), whose sum is σ = 5128200. Its totient is φ = 884736.

The previous prime is 2245459. The next prime is 2245483. The reversal of 2245480 is 845422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1758276 + 487204 = 1326^2 + 698^2 .

It is not an unprimeable number, because it can be changed into a prime (2245483) 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, 2536 + ... + 3304.

22245480 is an apocalyptic number.

2245480 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 2245480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564100).

2245480 is an abundant number, since it is smaller than the sum of its proper divisors (2882720).

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

2245480 is a wasteful number, since it uses less digits than its factorization.

2245480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2245480 is about 1498.4925758909. The cubic root of 2245480 is about 130.9492645828.

The spelling of 2245480 in words is "two million, two hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 769 1460 1538 2920 3076 3845 6152 7690 15380 30760 56137 112274 224548 280685 449096 561370 1122740 2245480