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2230117872 = 243375921283
BaseRepresentation
bin1000010011101100…
…1110010111110000
312202102100201121020
42010323032113300
514031402232442
61005143055440
7106156455243
oct20473162760
95672321536
102230117872
11a44930624
12522a41580
13297048198
1417227b25a
15d0bba9ec
hex84ece5f0

2230117872 has 80 divisors (see below), whose sum is σ = 6017412480. Its totient is φ = 710989056.

The previous prime is 2230117853. The next prime is 2230117889. The reversal of 2230117872 is 2787110322.

2230117872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94143 + ... + 115425.

It is an arithmetic number, because the mean of its divisors is an integer number (75217656).

Almost surely, 22230117872 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 2230117872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008706240).

2230117872 is an abundant number, since it is smaller than the sum of its proper divisors (3787294608).

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

2230117872 is a wasteful number, since it uses less digits than its factorization.

2230117872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21390 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2230117872 is about 47224.1238351756. The cubic root of 2230117872 is about 1306.4995747511.

The spelling of 2230117872 in words is "two billion, two hundred thirty million, one hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 59 74 111 118 148 177 222 236 296 354 444 472 592 708 888 944 1416 1776 2183 2832 4366 6549 8732 13098 17464 21283 26196 34928 42566 52392 63849 85132 104784 127698 170264 255396 340528 510792 787471 1021584 1255697 1574942 2362413 2511394 3149884 3767091 4724826 5022788 6299768 7534182 9449652 10045576 12599536 15068364 18899304 20091152 30136728 37798608 46460789 60273456 92921578 139382367 185843156 278764734 371686312 557529468 743372624 1115058936 2230117872