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2266992 = 2432713173
BaseRepresentation
bin1000101001011101110000
311021011201200
420221131300
51040020432
6120331200
725161210
oct10513560
94234650
102266992
111309252
12913b00
13614b20
14430240
152eba7c
hex229770

2266992 has 120 divisors (see below), whose sum is σ = 7853664. Its totient is φ = 594432.

The previous prime is 2266991. The next prime is 2266993. The reversal of 2266992 is 2996622.

It is an interprime number because it is at equal distance from previous prime (2266991) and next prime (2266993).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13018 + ... + 13190.

22266992 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 2266992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926832).

2266992 is an abundant number, since it is smaller than the sum of its proper divisors (5586672).

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

2266992 is a wasteful number, since it uses less digits than its factorization.

2266992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2266992 is about 1505.6533465576. The cubic root of 2266992 is about 131.3661067828.

The spelling of 2266992 in words is "two million, two hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 173 182 208 234 252 273 312 336 346 364 468 504 519 546 624 692 728 819 936 1008 1038 1092 1211 1384 1456 1557 1638 1872 2076 2184 2249 2422 2768 3114 3276 3633 4152 4368 4498 4844 6228 6552 6747 7266 8304 8996 9688 10899 12456 13104 13494 14532 15743 17992 19376 20241 21798 24912 26988 29064 31486 35984 40482 43596 47229 53976 58128 62972 80964 87192 94458 107952 125944 141687 161928 174384 188916 251888 283374 323856 377832 566748 755664 1133496 2266992