Search a number
-
+
1322203140 = 2232537198529
BaseRepresentation
bin100111011001111…
…0011100000000100
310102010221212201200
41032303303200010
510201441000030
6335111222500
744523353436
oct11663634004
93363855650
101322203140
11619392875
1230a977a30
13180c1012b
14c7860656
157b128d60
hex4ecf3804

1322203140 has 72 divisors (see below), whose sum is σ = 4119100440. Its totient is φ = 343056384.

The previous prime is 1322203123. The next prime is 1322203151. The reversal of 1322203140 is 413022231.

1322203140 is a `hidden beast` number, since 1 + 322 + 203 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 449355204 + 872847936 = 21198^2 + 29544^2 .

It is a super-2 number, since 2×13222031402 = 3496442286851719200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 92605 + ... + 105924.

Almost surely, 21322203140 is an apocalyptic number.

1322203140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322203140 is an abundant number, since it is smaller than the sum of its proper divisors (2796897300).

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

1322203140 is a wasteful number, since it uses less digits than its factorization.

1322203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198581 (or 198576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1322203140 is about 36362.1113248392. Note that the first 3 decimals coincide. The cubic root of 1322203140 is about 1097.5712640286.

Adding to 1322203140 its reverse (413022231), we get a palindrome (1735225371).

The spelling of 1322203140 in words is "one billion, three hundred twenty-two million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 198529 397058 595587 794116 992645 1191174 1786761 1985290 2382348 2977935 3573522 3970580 5955870 7147044 7345573 8933805 11911740 14691146 17867610 22036719 29382292 35735220 36727865 44073438 66110157 73455730 88146876 110183595 132220314 146911460 220367190 264440628 330550785 440734380 661101570 1322203140