Search a number
-
+
807222744 = 233247263907
BaseRepresentation
bin110000000111010…
…011110111011000
32002020221011102200
4300013103313120
53123122111434
6212033330200
726001165036
oct6007236730
92066834380
10807222744
11384724439
121a6406960
13cb3115c3
14792c9556
154ad02199
hex301d3dd8

807222744 has 96 divisors (see below), whose sum is σ = 2243704320. Its totient is φ = 262058688.

The previous prime is 807222737. The next prime is 807222751. The reversal of 807222744 is 447222708.

807222744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (807222737) and next prime (807222751).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 807222699 and 807222708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889539 + ... + 890445.

It is an arithmetic number, because the mean of its divisors is an integer number (23371920).

Almost surely, 2807222744 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 807222744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121852160).

807222744 is an abundant number, since it is smaller than the sum of its proper divisors (1436481576).

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

807222744 is a wasteful number, since it uses less digits than its factorization.

807222744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 807222744 is about 28411.6656322715. The cubic root of 807222744 is about 931.1031515726.

Subtracting from 807222744 its sum of digits (36), we obtain a palindrome (807222708).

The spelling of 807222744 in words is "eight hundred seven million, two hundred twenty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 263 282 376 423 526 564 789 846 907 1052 1128 1578 1692 1814 2104 2367 2721 3156 3384 3628 4734 5442 6312 7256 8163 9468 10884 12361 16326 18936 21768 24722 32652 37083 42629 49444 65304 74166 85258 98888 111249 127887 148332 170516 222498 238541 255774 296664 341032 383661 444996 477082 511548 715623 767322 889992 954164 1023096 1431246 1534644 1908328 2146869 2862492 3069288 4293738 5724984 8587476 11211427 17174952 22422854 33634281 44845708 67268562 89691416 100902843 134537124 201805686 269074248 403611372 807222744