Search a number
-
+
9226431240 = 2335137697691
BaseRepresentation
bin10001001011111000…
…00010101100001000
3212211000011021021120
420211330002230020
5122343431244430
64123310235240
7444432241305
oct104574025410
925730137246
109226431240
113a05097394
121955ab5b20
13b40660090
146375180ac
15390007610
hex225f02b08

9226431240 has 128 divisors (see below), whose sum is σ = 29851113600. Its totient is φ = 2267873280.

The previous prime is 9226431211. The next prime is 9226431281. The reversal of 9226431240 is 421346229.

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 31 ways as a sum of consecutive naturals, for example, 1195795 + ... + 1203485.

It is an arithmetic number, because the mean of its divisors is an integer number (233211825).

Almost surely, 29226431240 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 9226431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925556800).

9226431240 is an abundant number, since it is smaller than the sum of its proper divisors (20624682360).

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

9226431240 is a wasteful number, since it uses less digits than its factorization.

9226431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8487 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 9226431240 is about 96054.3140103556. The cubic root of 9226431240 is about 2097.3838351246.

Adding to 9226431240 its reverse (421346229), we get a palindrome (9647777469).

The spelling of 9226431240 in words is "nine billion, two hundred twenty-six million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 769 780 1538 1560 2307 3076 3845 4614 6152 7690 7691 9228 9997 11535 15380 15382 18456 19994 23070 23073 29991 30760 30764 38455 39988 46140 46146 49985 59982 61528 76910 79976 92280 92292 99970 99983 115365 119964 149955 153820 184584 199940 199966 230730 239928 299910 299949 307640 399880 399932 461460 499915 599820 599898 799864 922920 999830 1199640 1199796 1499745 1999660 2399592 2999490 3999320 5914379 5998980 11828758 11997960 17743137 23657516 29571895 35486274 47315032 59143790 70972548 76886927 88715685 118287580 141945096 153773854 177431370 230660781 236575160 307547708 354862740 384434635 461321562 615095416 709725480 768869270 922643124 1153303905 1537738540 1845286248 2306607810 3075477080 4613215620 9226431240