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11221531224 = 2331756948337
BaseRepresentation
bin10100111001101101…
…01111101001011000
31001222001021211221120
422130312233221120
5140440202444344
65053300205240
7545036304321
oct123466575130
931861254846
1011221531224
114839297552
122212099820
13109aab0007
14786499448
1545a24d219
hex29cdafa58

11221531224 has 64 divisors (see below), whose sum is σ = 29756872800. Its totient is φ = 3514220544.

The previous prime is 11221531183. The next prime is 11221531259. The reversal of 11221531224 is 42213512211.

It is a happy number.

It is a super-2 number, since 2×112215312242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11221531194 and 11221531203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207984 + ... + 256320.

Almost surely, 211221531224 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 11221531224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878436400).

11221531224 is an abundant number, since it is smaller than the sum of its proper divisors (18535341576).

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

11221531224 is a wasteful number, since it uses less digits than its factorization.

11221531224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48932 (or 48928 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The spelling of 11221531224 in words is "eleven billion, two hundred twenty-one million, five hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 569 1138 1707 2276 3414 4552 6828 9673 13656 19346 29019 38692 48337 58038 77384 96674 116076 145011 193348 232152 290022 386696 580044 821729 1160088 1643458 2465187 3286916 4930374 6573832 9860748 19721496 27503753 55007506 82511259 110015012 165022518 220030024 330045036 467563801 660090072 935127602 1402691403 1870255204 2805382806 3740510408 5610765612 11221531224