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2240770986 = 233173721783
BaseRepresentation
bin1000010110001111…
…0111001110101010
312210011101221221000
42011203313032222
514042114132421
61010203255430
7106346145006
oct20543671652
95704357830
102240770986
11a4a947453
1252651a576
132993080bc
14173851706
15d1ac2226
hex858f73aa

2240770986 has 96 divisors (see below), whose sum is σ = 5421790080. Its totient is φ = 683603712.

The previous prime is 2240770963. The next prime is 2240770999. The reversal of 2240770986 is 6890770422.

It is a super-2 number, since 2×22407709862 = 10042109223398824392, which contains 22 as substring.

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, 1255851 + ... + 1257633.

It is an arithmetic number, because the mean of its divisors is an integer number (56476980).

Almost surely, 22240770986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240770986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710895040).

2240770986 is an abundant number, since it is smaller than the sum of its proper divisors (3181019094).

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

2240770986 is a wasteful number, since it uses less digits than its factorization.

2240770986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2240770986 is about 47336.7825902860. The cubic root of 2240770986 is about 1308.5766227089.

The spelling of 2240770986 in words is "two billion, two hundred forty million, seven hundred seventy thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1369 1783 1887 1998 2738 3566 3774 4107 5349 5661 8214 10698 11322 12321 16047 16983 23273 24642 30311 32094 33966 36963 46546 48141 60622 65971 69819 73926 90933 96282 131942 139638 181866 197913 209457 272799 395826 418914 545598 593739 628371 818397 1121507 1187478 1256742 1636794 1781217 2243014 2440927 3364521 3562434 4881854 6729042 7322781 10093563 14645562 20187126 21968343 30280689 41495759 43936686 60561378 65905029 82991518 124487277 131810058 248974554 373461831 746923662 1120385493 2240770986