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2245420 = 225192311
BaseRepresentation
bin1000100100001100101100
311020002010201
420210030230
51033323140
6120043244
725041262
oct10441454
94202121
102245420
1112a4021
12903524
13608068
14426432
152e549a
hex22432c

2245420 has 36 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 848160.

The previous prime is 2245391. The next prime is 2245427. The reversal of 2245420 is 245422.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2245427) 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, 7065 + ... + 7375.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

22245420 is an apocalyptic number.

2245420 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 2245420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

2245420 is an abundant number, since it is smaller than the sum of its proper divisors (2747204).

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

2245420 is a wasteful number, since it uses less digits than its factorization.

2245420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2245420 is about 1498.4725556379. The cubic root of 2245420 is about 130.9480982359.

The spelling of 2245420 in words is "two million, two hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 311 361 380 622 722 1244 1444 1555 1805 3110 3610 5909 6220 7220 11818 23636 29545 59090 112271 118180 224542 449084 561355 1122710 2245420