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2246004 = 223289701
BaseRepresentation
bin1000100100010101110100
311020002221100
420210111310
51033333004
6120050100
725043055
oct10442564
94202840
102246004
1112a4502
12903930
136083c7
1442672c
152e5739
hex224574

2246004 has 36 divisors (see below), whose sum is σ = 5749380. Its totient is φ = 739200.

The previous prime is 2245993. The next prime is 2246017. The reversal of 2246004 is 4006422.

It can be written as a sum of positive squares in 2 ways, for example, as 1205604 + 1040400 = 1098^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

22246004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874690).

2246004 is an abundant number, since it is smaller than the sum of its proper divisors (3503376).

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

2246004 is a wasteful number, since it uses less digits than its factorization.

2246004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2246004 is about 1498.6674080662. The cubic root of 2246004 is about 130.9594497960.

The spelling of 2246004 in words is "two million, two hundred forty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 701 801 1068 1402 1602 2103 2804 3204 4206 6309 8412 12618 25236 62389 124778 187167 249556 374334 561501 748668 1123002 2246004