Search a number
-
+
302233020 = 2235371091249
BaseRepresentation
bin10010000000111…
…011010110111100
3210001201000202120
4102000323112330
51104332424040
645553522540
710326636555
oct2200732674
9701630676
10302233020
1114566a161
1285273450
134a80030b
142c1d532c
151b8007d0
hex1203b5bc

302233020 has 96 divisors (see below), whose sum is σ = 877800000. Its totient is φ = 77635584.

The previous prime is 302232991. The next prime is 302233037. The reversal of 302233020 is 20332203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 241356 + ... + 242604.

It is an arithmetic number, because the mean of its divisors is an integer number (9143750).

Almost surely, 2302233020 is an apocalyptic number.

302233020 is a gapful number since it is divisible by the number (30) 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 302233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438900000).

302233020 is an abundant number, since it is smaller than the sum of its proper divisors (575566980).

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

302233020 is a wasteful number, since it uses less digits than its factorization.

302233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 302233020 is about 17384.8503013400. The cubic root of 302233020 is about 671.0897984020.

Adding to 302233020 its reverse (20332203), we get a palindrome (322565223).

The spelling of 302233020 in words is "three hundred two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 148 185 218 222 327 370 436 444 545 555 654 740 1090 1110 1249 1308 1635 2180 2220 2498 3270 3747 4033 4996 6245 6540 7494 8066 12099 12490 14988 16132 18735 20165 24198 24980 37470 40330 46213 48396 60495 74940 80660 92426 120990 136141 138639 184852 231065 241980 272282 277278 408423 462130 544564 554556 680705 693195 816846 924260 1361410 1386390 1633692 2042115 2722820 2772780 4084230 5037217 8168460 10074434 15111651 20148868 25186085 30223302 50372170 60446604 75558255 100744340 151116510 302233020