Search a number
-
+
1023668226 = 233717241661
BaseRepresentation
bin111101000000111…
…111000000000010
32122100012201211000
4331000333000002
54044024340401
6245324432430
734240015320
oct7500770002
92570181730
101023668226
1148591a0a9
122469a8716
13134106159
1499d4cd10
155ed09186
hex3d03f002

1023668226 has 128 divisors (see below), whose sum is σ = 2768325120. Its totient is φ = 273715200.

The previous prime is 1023668213. The next prime is 1023668237. The reversal of 1023668226 is 6228663201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548336 + ... + 1548996.

It is an arithmetic number, because the mean of its divisors is an integer number (21627540).

Almost surely, 21023668226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023668226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384162560).

1023668226 is an abundant number, since it is smaller than the sum of its proper divisors (1744656894).

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

1023668226 is a wasteful number, since it uses less digits than its factorization.

1023668226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1023668226 is about 31994.8156112830. The cubic root of 1023668226 is about 1007.8279716348.

It can be divided in two parts, 102366 and 8226, that added together give a cube (110592 = 483).

The spelling of 1023668226 in words is "one billion, twenty-three million, six hundred sixty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 241 306 357 378 459 482 661 714 723 918 1071 1322 1446 1687 1983 2142 2169 3213 3374 3966 4097 4338 4627 5061 5949 6426 6507 8194 9254 10122 11237 11898 12291 13014 13881 15183 17847 22474 24582 27762 28679 30366 33711 35694 36873 41643 45549 57358 67422 73746 78659 83286 86037 91098 101133 110619 124929 157318 159301 172074 202266 221238 235977 249858 258111 303399 318602 471954 477903 516222 606798 707931 774333 955806 1115107 1415862 1433709 1548666 2123793 2230214 2708117 2867418 3345321 4247586 4301127 5416234 6690642 8124351 8602254 10035963 16248702 18956819 20071926 24373053 30107889 37913638 48746106 56870457 60215778 73119159 113740914 146238318 170611371 341222742 511834113 1023668226