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232003420 = 225111724189
BaseRepresentation
bin11011101010000…
…01011101011100
3121011112222212021
431311001131130
5433343102140
635004345524
75514665545
oct1565013534
9534488767
10232003420
11109a61670
12658452a4
13390b113c
1422b534cc
151557bb4a
hexdd4175c

232003420 has 144 divisors (see below), whose sum is σ = 584871840. Its totient is φ = 76595200.

The previous prime is 232003337. The next prime is 232003423. The reversal of 232003420 is 24300232.

It is a junction number, because it is equal to n+sod(n) for n = 232003394 and 232003403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232003423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2606736 + ... + 2606824.

It is an arithmetic number, because the mean of its divisors is an integer number (4061610).

Almost surely, 2232003420 is an apocalyptic number.

232003420 is a gapful number since it is divisible by the number (20) 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 232003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292435920).

232003420 is an abundant number, since it is smaller than the sum of its proper divisors (352868420).

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

232003420 is a wasteful number, since it uses less digits than its factorization.

232003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232003420 is about 15231.6584783142. The cubic root of 232003420 is about 614.4663844682.

Adding to 232003420 its reverse (24300232), we get a palindrome (256303652).

The spelling of 232003420 in words is "two hundred thirty-two million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 82 85 89 110 164 170 178 187 205 220 289 340 356 374 410 445 451 578 697 748 820 890 902 935 979 1156 1394 1445 1513 1780 1804 1870 1958 2255 2788 2890 3026 3179 3485 3649 3740 3916 4510 4895 5780 6052 6358 6970 7298 7565 7667 9020 9790 11849 12716 13940 14596 15130 15334 15895 16643 18245 19580 23698 25721 30260 30668 31790 33286 36490 38335 40139 47396 51442 59245 62033 63580 66572 72980 76670 80278 83215 102884 118490 124066 128605 130339 153340 160556 166430 200695 236980 248132 257210 260678 282931 310165 332860 401390 514420 521356 565862 620330 651695 682363 802780 1054561 1131724 1240660 1303390 1364726 1414655 2109122 2606780 2729452 2829310 3411815 4218244 5272805 5658620 6823630 10545610 11600171 13647260 21091220 23200342 46400684 58000855 116001710 232003420