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2263788 = 223517137
BaseRepresentation
bin1000101000101011101100
311021000100000
420220223230
51034420123
6120304300
725145652
oct10505354
94230300
102263788
1113068aa
12912090
13613527
1442cdd2
152eab43
hex228aec

2263788 has 72 divisors (see below), whose sum is σ = 6329232. Its totient is φ = 705024.

The previous prime is 2263787. The next prime is 2263801. The reversal of 2263788 is 8873622.

It is a happy number.

2263788 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22637882 = 10249472217888, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 27 + 221 + 66 + 37 + 76 + 8 + 8 .

It is not an unprimeable number, because it can be changed into a prime (2263787) 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, 16456 + ... + 16592.

It is an arithmetic number, because the mean of its divisors is an integer number (87906).

22263788 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 2263788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164616).

2263788 is an abundant number, since it is smaller than the sum of its proper divisors (4065444).

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

2263788 is a wasteful number, since it uses less digits than its factorization.

2263788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2263788 is about 1504.5889804196. The cubic root of 2263788 is about 131.3041898682.

The spelling of 2263788 in words is "two million, two hundred sixty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 137 153 162 204 243 274 306 324 411 459 486 548 612 822 918 972 1233 1377 1644 1836 2329 2466 2754 3699 4131 4658 4932 5508 6987 7398 8262 9316 11097 13974 14796 16524 20961 22194 27948 33291 41922 44388 62883 66582 83844 125766 133164 188649 251532 377298 565947 754596 1131894 2263788