Search a number
-
+
5151262230 = 23555993539
BaseRepresentation
bin1001100110000101…
…00000011000010110
3111022000000020100000
410303002200120112
541022210342410
62211053232130
7241440002142
oct46302403026
914260006300
105151262230
112203831614
12bb9192646
136412b017a
1436c1d8222
15202384dc0
hex1330a0616

5151262230 has 96 divisors (see below), whose sum is σ = 13916448000. Its totient is φ = 1370989152.

The previous prime is 5151262223. The next prime is 5151262253. The reversal of 5151262230 is 322621515.

It is a happy number.

5151262230 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 2 + 622 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5151262194 and 5151262203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453801 + ... + 1457339.

It is an arithmetic number, because the mean of its divisors is an integer number (144963000).

Almost surely, 25151262230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151262230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958224000).

5151262230 is an abundant number, since it is smaller than the sum of its proper divisors (8765185770).

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

5151262230 is a wasteful number, since it uses less digits than its factorization.

5151262230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5151262230 is about 71772.2943063687. The cubic root of 5151262230 is about 1727.0485756411.

Adding to 5151262230 its reverse (322621515), we get a palindrome (5473883745).

The spelling of 5151262230 in words is "five billion, one hundred fifty-one million, two hundred sixty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 599 810 1198 1215 1797 2430 2995 3539 3594 5391 5990 7078 8985 10617 10782 16173 17695 17970 21234 26955 31851 32346 35390 48519 53085 53910 63702 80865 95553 97038 106170 145557 159255 161730 191106 242595 286659 291114 318510 477765 485190 573318 727785 859977 955530 1433295 1455570 1719954 2119861 2866590 4239722 4299885 6359583 8599770 10599305 12719166 19078749 21198610 31797915 38157498 57236247 63595830 95393745 114472494 171708741 190787490 286181235 343417482 515126223 572362470 858543705 1030252446 1717087410 2575631115 5151262230