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2240106830 = 2513217103757
BaseRepresentation
bin1000010110000101…
…0101000101001110
312210010011012212122
42011201111011032
514041431404310
61010141132542
7106340410463
oct20541250516
95703135778
102240106830
11a4a533465
1252625a152
13299134a00
1417371b66a
15d19e0555
hex8585514e

2240106830 has 96 divisors (see below), whose sum is σ = 4674106944. Its totient is φ = 769886208.

The previous prime is 2240106829. The next prime is 2240106853. The reversal of 2240106830 is 386010422.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2240106830.

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 47 ways as a sum of consecutive naturals, for example, 2958812 + ... + 2959568.

It is an arithmetic number, because the mean of its divisors is an integer number (48688614).

Almost surely, 22240106830 is an apocalyptic number.

2240106830 is an abundant number, since it is smaller than the sum of its proper divisors (2434000114).

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

2240106830 is a wasteful number, since it uses less digits than its factorization.

2240106830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2240106830 is about 47329.7668492039. The cubic root of 2240106830 is about 1308.4473242218.

The spelling of 2240106830 in words is "two billion, two hundred forty million, one hundred six thousand, eight hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 103 130 169 170 206 221 338 442 515 757 845 1030 1105 1339 1514 1690 1751 2210 2678 2873 3502 3785 5746 6695 7570 8755 9841 12869 13390 14365 17407 17510 19682 22763 25738 28730 34814 45526 49205 64345 77971 87035 98410 113815 127933 128690 155942 167297 174070 227630 255866 295919 334594 389855 591838 639665 779710 836485 1013623 1279330 1325507 1479595 1672970 2027246 2174861 2651014 2959190 4349722 5068115 6627535 10136230 10874305 13177099 13255070 17231591 21748610 26354198 34463182 65885495 86157955 131770990 172315910 224010683 448021366 1120053415 2240106830