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2321000 = 235311211
BaseRepresentation
bin1000110110101001101000
311100220210222
420312221220
51043233000
6121425212
725504523
oct10665150
94326728
102321000
111345890
1293b208
13633596
14445bba
1530ca85
hex236a68

2321000 has 64 divisors (see below), whose sum is σ = 5952960. Its totient is φ = 840000.

The previous prime is 2320991. The next prime is 2321003. The reversal of 2321000 is 1232.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2321003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10895 + ... + 11105.

It is an arithmetic number, because the mean of its divisors is an integer number (93015).

22321000 is an apocalyptic number.

2321000 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 2321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976480).

2321000 is an abundant number, since it is smaller than the sum of its proper divisors (3631960).

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

2321000 is a wasteful number, since it uses less digits than its factorization.

2321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2321000 is about 1523.4828518891. The cubic root of 2321000 is about 132.4011366478.

Adding to 2321000 its reverse (1232), we get a palindrome (2322232).

The spelling of 2321000 in words is "two million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 211 220 250 275 422 440 500 550 844 1000 1055 1100 1375 1688 2110 2200 2321 2750 4220 4642 5275 5500 8440 9284 10550 11000 11605 18568 21100 23210 26375 42200 46420 52750 58025 92840 105500 116050 211000 232100 290125 464200 580250 1160500 2321000