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1122264 = 23321113109
BaseRepresentation
bin100010001111111011000
32010000110100
410101333120
5241403024
640015400
712352623
oct4217730
92100410
101122264
116a71a0
12461560
13303a80
14212dba
151727c9
hex111fd8

1122264 has 96 divisors (see below), whose sum is σ = 3603600. Its totient is φ = 311040.

The previous prime is 1122263. The next prime is 1122269. The reversal of 1122264 is 4622211.

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

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 (1122263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10242 + ... + 10350.

21122264 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 1122264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801800).

1122264 is an abundant number, since it is smaller than the sum of its proper divisors (2481336).

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

1122264 is a wasteful number, since it uses less digits than its factorization.

1122264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 1122264 is about 1059.3696238802. The cubic root of 1122264 is about 103.9198099796.

Adding to 1122264 its reverse (4622211), we get a palindrome (5744475).

It can be divided in two parts, 1 and 122264, that added together give a triangular number (122265 = T494).

The spelling of 1122264 in words is "one million, one hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 109 117 132 143 156 198 218 234 264 286 312 327 396 429 436 468 572 654 792 858 872 936 981 1144 1199 1287 1308 1417 1716 1962 2398 2574 2616 2834 3432 3597 3924 4251 4796 5148 5668 7194 7848 8502 9592 10296 10791 11336 12753 14388 15587 17004 21582 25506 28776 31174 34008 43164 46761 51012 62348 86328 93522 102024 124696 140283 187044 280566 374088 561132 1122264