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2236104 = 2332132389
BaseRepresentation
bin1000100001111011001000
311012121100200
420201323020
51033023404
6115532200
725002153
oct10417310
94177320
102236104
111298022
128ba060
13603a50
14422c9a
152e2839
hex221ec8

2236104 has 48 divisors (see below), whose sum is σ = 6524700. Its totient is φ = 687744.

The previous prime is 2236097. The next prime is 2236111. The reversal of 2236104 is 4016322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2236097) and next prime (2236111).

It can be written as a sum of positive squares in 2 ways, for example, as 1988100 + 248004 = 1410^2 + 498^2 .

It is a super-2 number, since 2×22361042 = 10000322197632, which contains 22 as substring.

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

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, 259 + ... + 2130.

22236104 is an apocalyptic number.

2236104 is a gapful number since it is divisible by the number (24) 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 2236104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262350).

2236104 is an abundant number, since it is smaller than the sum of its proper divisors (4288596).

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

2236104 is a wasteful number, since it uses less digits than its factorization.

2236104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2236104 is about 1495.3608260216. The cubic root of 2236104 is about 130.7667508003.

The spelling of 2236104 in words is "two million, two hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2389 4778 7167 9556 14334 19112 21501 28668 31057 43002 57336 62114 86004 93171 124228 172008 186342 248456 279513 372684 559026 745368 1118052 2236104