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2252394 = 23353787
BaseRepresentation
bin1000100101111001101010
311020102201000
420211321222
51034034034
6120135430
725100514
oct10457152
94212630
102252394
1112a9291
12907576
1360b2a1
14428bb4
152e7599
hex225e6a

2252394 has 32 divisors (see below), whose sum is σ = 5106240. Its totient is φ = 735696.

The previous prime is 2252389. The next prime is 2252399. The reversal of 2252394 is 4932522.

2252394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2252389) and next prime (2252399).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2252399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (159570).

22252394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553120).

2252394 is an abundant number, since it is smaller than the sum of its proper divisors (2853846).

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

2252394 is a wasteful number, since it uses less digits than its factorization.

2252394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2252394 is about 1500.7977878449. The cubic root of 2252394 is about 131.0835277180.

The spelling of 2252394 in words is "two million, two hundred fifty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 787 954 1431 1574 2361 2862 4722 7083 14166 21249 41711 42498 83422 125133 250266 375399 750798 1126197 2252394