Search a number
-
+
1230203232 = 253217376791
BaseRepresentation
bin100100101010011…
…0110100101100000
310011201211210120200
41021110312211200
510004413000412
6322023305200
742325361226
oct11124664540
93151753520
101230203232
11581465995
122a3bab200
13167b3ab0b
14b9552b16
15730049dc
hex49536960

1230203232 has 144 divisors (see below), whose sum is σ = 3804851232. Its totient is φ = 375459840.

The previous prime is 1230203209. The next prime is 1230203291. The reversal of 1230203232 is 2323020321.

It is a happy number.

1230203232 is a `hidden beast` number, since 1 + 230 + 203 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 177757 + ... + 184547.

It is an arithmetic number, because the mean of its divisors is an integer number (26422578).

Almost surely, 21230203232 is an apocalyptic number.

1230203232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902425616).

1230203232 is an abundant number, since it is smaller than the sum of its proper divisors (2574648000).

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

1230203232 is a wasteful number, since it uses less digits than its factorization.

1230203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1230203232 is about 35074.2531210573. The cubic root of 1230203232 is about 1071.5002775933.

Adding to 1230203232 its reverse (2323020321), we get a palindrome (3553223553).

The spelling of 1230203232 in words is "one billion, two hundred thirty million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 272 288 296 306 333 408 444 544 592 612 629 666 816 888 1184 1224 1258 1332 1632 1776 1887 2448 2516 2664 3552 3774 4896 5032 5328 5661 6791 7548 10064 10656 11322 13582 15096 20128 20373 22644 27164 30192 40746 45288 54328 60384 61119 81492 90576 108656 115447 122238 162984 181152 217312 230894 244476 251267 325968 346341 461788 488952 502534 651936 692682 753801 923576 977904 1005068 1039023 1385364 1507602 1847152 1955808 2010136 2078046 2261403 2770728 3015204 3694304 4020272 4156092 4271539 4522806 5541456 6030408 8040544 8312184 8543078 9045612 11082912 12060816 12814617 16624368 17086156 18091224 24121632 25629234 33248736 34172312 36182448 38443851 51258468 68344624 72364896 76887702 102516936 136689248 153775404 205033872 307550808 410067744 615101616 1230203232