Search a number
-
+
232670183940 = 22335577746743
BaseRepresentation
bin1101100010110000111…
…0010100001000000100
3211020120011222222122000
43120230032110020010
512303002031341230
6254515345305300
722544532634455
oct3305416241004
9736504888560
10232670183940
118a747286a17
1239114935230
1318c2c95b66c
14b392ddb12c
1560bb6e3b60
hex362c394204

232670183940 has 96 divisors (see below), whose sum is σ = 725118293760. Its totient is φ = 61937768448.

The previous prime is 232670183929. The next prime is 232670183981. The reversal of 232670183940 is 49381076232.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61792 + ... + 684951.

It is an arithmetic number, because the mean of its divisors is an integer number (7553315560).

Almost surely, 2232670183940 is an apocalyptic number.

232670183940 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 232670183940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362559146880).

232670183940 is an abundant number, since it is smaller than the sum of its proper divisors (492448109820).

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

232670183940 is a wasteful number, since it uses less digits than its factorization.

232670183940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747338 (or 747330 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 232670183940 in words is "two hundred thirty-two billion, six hundred seventy million, one hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 577 1154 1731 2308 2885 3462 5193 5770 6924 8655 10386 11540 15579 17310 20772 25965 31158 34620 51930 62316 77895 103860 155790 311580 746743 1493486 2240229 2986972 3733715 4480458 6720687 7467430 8960916 11201145 13441374 14934860 20162061 22402290 26882748 33603435 40324122 44804580 67206870 80648244 100810305 134413740 201620610 403241220 430870711 861741422 1292612133 1723482844 2154353555 2585224266 3877836399 4308707110 5170448532 6463060665 7755672798 8617414220 11633509197 12926121330 15511345596 19389181995 23267018394 25852242660 38778363990 46534036788 58167545985 77556727980 116335091970 232670183940