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2246790 = 235713823
BaseRepresentation
bin1000100100100010000110
311020011000110
420210202012
51033344130
6120053450
725045260
oct10444206
94204013
102246790
1112a5057
12904286
13608880
14426b30
152e5ab0
hex224886

2246790 has 64 divisors (see below), whose sum is σ = 6644736. Its totient is φ = 473472.

The previous prime is 2246789. The next prime is 2246791. The reversal of 2246790 is 976422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2246789) and next prime (2246791).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 217 + 221 + 45 + 6 + 75 + 93 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2319 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (103824).

22246790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322368).

2246790 is an abundant number, since it is smaller than the sum of its proper divisors (4397946).

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

2246790 is a wasteful number, since it uses less digits than its factorization.

2246790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2246790 is about 1498.9296180942. The cubic root of 2246790 is about 130.9747246460.

The spelling of 2246790 in words is "two million, two hundred forty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 823 910 1365 1646 2469 2730 4115 4938 5761 8230 10699 11522 12345 17283 21398 24690 28805 32097 34566 53495 57610 64194 74893 86415 106990 149786 160485 172830 224679 320970 374465 449358 748930 1123395 2246790