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2246000 = 24531123
BaseRepresentation
bin1000100100010101110000
311020002221012
420210111300
51033333000
6120050052
725043051
oct10442560
94202835
102246000
1112a44a9
12903928
136083c3
14426728
152e5735
hex224570

2246000 has 40 divisors (see below), whose sum is σ = 5435664. Its totient is φ = 897600.

The previous prime is 2245993. The next prime is 2246017. The reversal of 2246000 is 6422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439 + ... + 2561.

22246000 is an apocalyptic number.

2246000 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 2246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717832).

2246000 is an abundant number, since it is smaller than the sum of its proper divisors (3189664).

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

2246000 is a wasteful number, since it uses less digits than its factorization.

2246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2246000 is about 1498.6660735467. Note that the first 3 decimals coincide. The cubic root of 2246000 is about 130.9593720523.

The spelling of 2246000 in words is "two million, two hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1123 2000 2246 4492 5615 8984 11230 17968 22460 28075 44920 56150 89840 112300 140375 224600 280750 449200 561500 1123000 2246000