Search a number
-
+
232414020 = 223253734897
BaseRepresentation
bin11011101101001…
…01101101000100
3121012022212002200
431312211231010
5433444222040
635021234500
75521325616
oct1566455504
9535285080
10232414020
1110a212103
1265a02a30
13391c5cb7
1422c1cdb6
151560d630
hexdda5b44

232414020 has 72 divisors (see below), whose sum is σ = 724063704. Its totient is φ = 60300288.

The previous prime is 232414019. The next prime is 232414109. The reversal of 232414020 is 20414232.

232414020 is a `hidden beast` number, since 23 + 241 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 218034756 = 3792^2 + 14766^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 232413984 and 232414002.

It is a congruent number.

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, 10789 + ... + 24108.

Almost surely, 2232414020 is an apocalyptic number.

232414020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232414020 is an abundant number, since it is smaller than the sum of its proper divisors (491649684).

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

232414020 is a wasteful number, since it uses less digits than its factorization.

232414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34949 (or 34944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232414020 is about 15245.1310260030. The cubic root of 232414020 is about 614.8286653394.

Adding to 232414020 its reverse (20414232), we get a palindrome (252828252).

It can be divided in two parts, 23241 and 4020, that added together give a triangular number (27261 = T233).

The spelling of 232414020 in words is "two hundred thirty-two million, four hundred fourteen thousand, twenty".

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 34897 69794 104691 139588 174485 209382 314073 348970 418764 523455 628146 697940 1046910 1256292 1291189 1570365 2093820 2582378 3140730 3873567 5164756 6281460 6455945 7747134 11620701 12911890 15494268 19367835 23241402 25823780 38735670 46482804 58103505 77471340 116207010 232414020