Search a number
-
+
232302300 = 2235223131257
BaseRepresentation
bin11011101100010…
…10011011011100
3121012010011211220
431312022123130
5433432133200
635015013340
75520352116
oct1566123334
9535104756
10232302300
1110a14617a
126596a250
13391871a9
1422bd03b6
15155da4a0
hexdd8a6dc

232302300 has 144 divisors (see below), whose sum is σ = 709454592. Its totient is φ = 58572800.

The previous prime is 232302283. The next prime is 232302307. The reversal of 232302300 is 3203232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232302300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232302307) 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, 903772 + ... + 904028.

It is an arithmetic number, because the mean of its divisors is an integer number (4926768).

Almost surely, 2232302300 is an apocalyptic number.

232302300 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 232302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354727296).

232302300 is an abundant number, since it is smaller than the sum of its proper divisors (477152292).

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

232302300 is a wasteful number, since it uses less digits than its factorization.

232302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

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

The square root of 232302300 is about 15241.4664648780. The cubic root of 232302300 is about 614.7301347552.

Adding to 232302300 its reverse (3203232), we get a palindrome (235505532).

The spelling of 232302300 in words is "two hundred thirty-two million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 131 138 150 230 257 262 276 300 345 393 460 514 524 575 655 690 771 786 1028 1150 1285 1310 1380 1542 1572 1725 1965 2300 2570 2620 3013 3084 3275 3450 3855 3930 5140 5911 6026 6425 6550 6900 7710 7860 9039 9825 11822 12052 12850 13100 15065 15420 17733 18078 19275 19650 23644 25700 29555 30130 33667 35466 36156 38550 39300 45195 59110 60260 67334 70932 75325 77100 88665 90390 101001 118220 134668 147775 150650 168335 177330 180780 202002 225975 295550 301300 336670 354660 404004 443325 451950 505005 591100 673340 774341 841675 886650 903900 1010010 1548682 1683350 1773300 2020020 2323023 2525025 3097364 3366700 3871705 4646046 5050050 7743410 9292092 10100100 11615115 15486820 19358525 23230230 38717050 46460460 58075575 77434100 116151150 232302300