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2264043432 = 233729971931
BaseRepresentation
bin1000011011110010…
…1000111110101000
312211210012022201110
42012330220332220
514114043342212
61012354150320
7110051023500
oct20674507650
95753168643
102264043432
11a61aa2382
125322823a0
132a1095b91
1417698ca00
15d3b6ca3c
hex86f28fa8

2264043432 has 96 divisors (see below), whose sum is σ = 6594225120. Its totient is φ = 645886080.

The previous prime is 2264043421. The next prime is 2264043443. The reversal of 2264043432 is 2343404622.

2264043432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2264043421) and next prime (2264043443).

It is a self number, because there is not a number n which added to its sum of digits gives 2264043432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171507 + ... + 1173437.

It is an arithmetic number, because the mean of its divisors is an integer number (68689845).

Almost surely, 22264043432 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 2264043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297112560).

2264043432 is an abundant number, since it is smaller than the sum of its proper divisors (4330181688).

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

2264043432 is a wasteful number, since it uses less digits than its factorization.

2264043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2264043432 is about 47581.9654070741. The cubic root of 2264043432 is about 1313.0912820315.

The spelling of 2264043432 in words is "two billion, two hundred sixty-four million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 997 1176 1931 1994 2991 3862 3988 5793 5982 6979 7724 7976 11586 11964 13517 13958 15448 20937 23172 23928 27034 27916 40551 41874 46344 48853 54068 55832 81102 83748 94619 97706 108136 146559 162204 167496 189238 195412 283857 293118 324408 378476 390824 567714 586236 756952 1135428 1172472 1925207 2270856 3850414 5775621 7700828 11551242 13476449 15401656 23102484 26952898 40429347 46204968 53905796 80858694 94335143 107811592 161717388 188670286 283005429 323434776 377340572 566010858 754681144 1132021716 2264043432