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11226402 = 2321131259
BaseRepresentation
bin101010110100…
…110100100010
3210010100201200
4222310310202
510333221102
61040342030
7164265015
oct52646442
923110650
1011226402
116378620
123914916
132430b55
1416c337c
15ebb51c
hexab4d22

11226402 has 72 divisors (see below), whose sum is σ = 27883440. Its totient is φ = 3236400.

The previous prime is 11226401. The next prime is 11226403. The reversal of 11226402 is 20462211.

11226402 is a `hidden beast` number, since 1 + 1 + 22 + 640 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11226401) and next prime (11226403).

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

It is not an unprimeable number, because it can be changed into a prime (11226401) 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 35 ways as a sum of consecutive naturals, for example, 190249 + ... + 190307.

It is an arithmetic number, because the mean of its divisors is an integer number (387270).

Almost surely, 211226402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11226402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941720).

11226402 is an abundant number, since it is smaller than the sum of its proper divisors (16657038).

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

11226402 is a wasteful number, since it uses less digits than its factorization.

11226402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

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

The square root of 11226402 is about 3350.5823374452. The cubic root of 11226402 is about 223.9134577465.

Adding to 11226402 its reverse (20462211), we get a palindrome (31688613).

It can be divided in two parts, 11226 and 402, that added together give a triangular number (11628 = T152).

The spelling of 11226402 in words is "eleven million, two hundred twenty-six thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 31 33 59 62 66 93 99 118 177 186 198 279 341 354 531 558 649 682 961 1023 1062 1298 1829 1922 1947 2046 2883 3069 3658 3894 5487 5766 5841 6138 8649 10571 10974 11682 16461 17298 20119 21142 31713 32922 40238 56699 60357 63426 95139 113398 120714 170097 181071 190278 340194 362142 510291 623689 1020582 1247378 1871067 3742134 5613201 11226402