Search a number
-
+
9220240530 = 2345173718097
BaseRepresentation
bin10001001011001000…
…11011010010010010
3212210120111202020000
420211210123102102
5122340340144110
64122525430430
7444325515504
oct104544332222
925716452200
109220240530
113a016491a6
121953a0b416
13b3c2a3337
14636785d74
1538e6d31c0
hex22591b492

9220240530 has 160 divisors (see below), whose sum is σ = 26961531696. Its totient is φ = 2251431936.

The previous prime is 9220240499. The next prime is 9220240543. The reversal of 9220240530 is 350420229.

9220240530 is a `hidden beast` number, since 9 + 220 + 2 + 405 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5495701689 + 3724538841 = 74133^2 + 61029^2 .

It is a super-4 number, since 4×92202405304 (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9220240494 and 9220240503.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 500442 + ... + 518538.

Almost surely, 29220240530 is an apocalyptic number.

9220240530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9220240530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480765848).

9220240530 is an abundant number, since it is smaller than the sum of its proper divisors (17741291166).

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

9220240530 is a wasteful number, since it uses less digits than its factorization.

9220240530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18170 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 9220240530 is about 96022.0835537326. The cubic root of 9220240530 is about 2096.9146323933.

Adding to 9220240530 its reverse (350420229), we get a palindrome (9570660759).

The spelling of 9220240530 in words is "nine billion, two hundred twenty million, two hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 37 45 51 54 74 81 85 90 102 111 135 153 162 170 185 222 255 270 306 333 370 405 459 510 555 629 666 765 810 918 999 1110 1258 1377 1530 1665 1887 1998 2295 2754 2997 3145 3330 3774 4590 4995 5661 5994 6290 6885 9435 9990 11322 13770 14985 16983 18097 18870 28305 29970 33966 36194 50949 54291 56610 84915 90485 101898 108582 162873 169830 180970 254745 271455 307649 325746 488619 509490 542910 615298 669589 814365 922947 977238 1339178 1465857 1538245 1628730 1845894 2008767 2443095 2768841 2931714 3076490 3347945 4017534 4614735 4886190 5537682 6026301 6695890 7329285 8306523 9229470 10043835 11383013 12052602 13844205 14658570 16613046 18078903 20087670 22766026 24919569 27688410 30131505 34149039 36157806 41532615 49839138 54236709 56915065 60263010 68298078 83065230 90394515 102447117 108473418 113830130 124597845 170745195 180789030 204894234 249195690 271183545 307341351 341490390 512235585 542367090 614682702 922024053 1024471170 1536706755 1844048106 3073413510 4610120265 9220240530