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2264041524 = 2232360113649
BaseRepresentation
bin1000011011110010…
…1000100000110100
312211210012020002210
42012330220200310
514114043312044
61012354133420
7110051015103
oct20674504064
95753166083
102264041524
11a61aa09a8
12532281270
132a1095054
1417698c03a
15d3b6c1b9
hex86f28834

2264041524 has 48 divisors (see below), whose sum is σ = 5522025600. Its totient is φ = 720614400.

The previous prime is 2264041519. The next prime is 2264041531. The reversal of 2264041524 is 4251404622.

It is a junction number, because it is equal to n+sod(n) for n = 2264041491 and 2264041500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159052 + ... + 172700.

It is an arithmetic number, because the mean of its divisors is an integer number (115042200).

Almost surely, 22264041524 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 2264041524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761012800).

2264041524 is an abundant number, since it is smaller than the sum of its proper divisors (3257984076).

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

2264041524 is a wasteful number, since it uses less digits than its factorization.

2264041524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14278 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2264041524 is about 47581.9453574568. The cubic root of 2264041524 is about 1313.0909131666.

The spelling of 2264041524 in words is "two billion, two hundred sixty-four million, forty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 601 1202 1803 2404 3606 7212 13649 13823 27298 27646 40947 41469 54596 55292 81894 82938 163788 165876 313927 627854 941781 1255708 1883562 3767124 8203049 16406098 24609147 32812196 49218294 98436588 188670127 377340254 566010381 754680508 1132020762 2264041524