Search a number
-
+
232133402020 = 2251330729473
BaseRepresentation
bin1101100000110000111…
…0101001110110100100
3211012011202221122021011
43120030032221312210
512300402122331040
6254350212232004
722525324234552
oct3301416516644
9735152848234
10232133402020
118a4a12877a3
1238ba500b604
1318b75698720
14b3419ccbd2
1560895123ea
hex360c3a9da4

232133402020 has 72 divisors (see below), whose sum is σ = 526749814584. Its totient is φ = 85422587904.

The previous prime is 232133402009. The next prime is 232133402023. The reversal of 232133402020 is 20204331232.

It can be written as a sum of positive squares in 4 ways, for example, as 41554007104 + 190579394916 = 203848^2 + 436554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232133401982 and 232133402000.

It is not an unprimeable number, because it can be changed into a prime (232133402023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24500004 + ... + 24509476.

It is an arithmetic number, because the mean of its divisors is an integer number (7315969647).

Almost surely, 2232133402020 is an apocalyptic number.

232133402020 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 232133402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263374907292).

232133402020 is an abundant number, since it is smaller than the sum of its proper divisors (294616412564).

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

232133402020 is a wasteful number, since it uses less digits than its factorization.

232133402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10109 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 232133402020 its reverse (20204331232), we get a palindrome (252337733252).

The spelling of 232133402020 in words is "two hundred thirty-two billion, one hundred thirty-three million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 614 1228 1535 3070 3991 6140 7982 9473 15964 18946 19955 37892 39910 47365 79820 94249 94730 123149 188498 189460 246298 376996 471245 492596 615745 942490 1225237 1231490 1884980 2450474 2462980 2908211 4900948 5816422 6126185 11632844 12252370 14541055 24504740 29082110 37806743 58164220 75613486 151226972 189033715 378067430 756134860 892820777 1785641554 3571283108 4464103885 8928207770 11606670101 17856415540 23213340202 46426680404 58033350505 116066701010 232133402020