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2244834 = 23531149
BaseRepresentation
bin1000100100000011100010
311020001100000
420210003202
51033313314
6120040430
725036464
oct10440342
94201300
102244834
1112a3639
12903116
13607a07
14426134
152e5209
hex2240e2

2244834 has 48 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 719280.

The previous prime is 2244821. The next prime is 2244841. The reversal of 2244834 is 4384422.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2244798 and 2244807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14992 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

22244834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800).

2244834 is an abundant number, since it is smaller than the sum of its proper divisors (2996766).

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

2244834 is a wasteful number, since it uses less digits than its factorization.

2244834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2244834 is about 1498.2770104357. The cubic root of 2244834 is about 130.9367058220.

The spelling of 2244834 in words is "two million, two hundred forty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 149 162 186 243 279 298 447 486 558 837 894 1341 1674 2511 2682 4023 4619 5022 7533 8046 9238 12069 13857 15066 24138 27714 36207 41571 72414 83142 124713 249426 374139 748278 1122417 2244834