Search a number
-
+
2261502450 = 233525928393
BaseRepresentation
bin1000011011001011…
…1100100111110010
312211121102020011000
42012302330213302
514112421034300
61012223502430
7110020311414
oct20662744762
95747366130
102261502450
11a60617299
12531457a16
132a06b643c
141764ca9b4
15d3819c00
hex86cbc9f2

2261502450 has 96 divisors (see below), whose sum is σ = 6337540800. Its totient is φ = 592824960.

The previous prime is 2261502443. The next prime is 2261502491. The reversal of 2261502450 is 542051622.

2261502450 is a `hidden beast` number, since 2 + 2 + 615 + 0 + 2 + 45 + 0 = 666.

It is a super-2 number, since 2×22615024502 = 10228786662712005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65454 + ... + 93846.

It is an arithmetic number, because the mean of its divisors is an integer number (66016050).

Almost surely, 22261502450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261502450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168770400).

2261502450 is an abundant number, since it is smaller than the sum of its proper divisors (4076038350).

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

2261502450 is a wasteful number, since it uses less digits than its factorization.

2261502450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28473 (or 28462 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2261502450 is about 47555.2568072132. The cubic root of 2261502450 is about 1312.5998617896.

The spelling of 2261502450 in words is "two billion, two hundred sixty-one million, five hundred two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 90 118 135 150 177 225 270 295 354 450 531 590 675 885 1062 1350 1475 1593 1770 2655 2950 3186 4425 5310 7965 8850 13275 15930 26550 28393 39825 56786 79650 85179 141965 170358 255537 283930 425895 511074 709825 766611 851790 1277685 1419650 1533222 1675187 2129475 2555370 3350374 3833055 4258950 5025561 6388425 7666110 8375935 10051122 12776850 15076683 16751870 19165275 25127805 30153366 38330550 41879675 45230049 50255610 75383415 83759350 90460098 125639025 150766830 226150245 251278050 376917075 452300490 753834150 1130751225 2261502450