Search a number
-
+
2232300300 = 2235246116141
BaseRepresentation
bin1000010100001110…
…0011001100001100
312202120110121022220
42011003203030030
514032432102200
61005301535340
7106214145066
oct20503431414
95676417286
102232300300
11a4609128a
12523714550
13297630669
14172688736
15d0e9c4a0
hex850e330c

2232300300 has 72 divisors (see below), whose sum is σ = 6473200272. Its totient is φ = 593952000.

The previous prime is 2232300293. The next prime is 2232300313. The reversal of 2232300300 is 30032322.

It is a super-3 number, since 3×22323003003 (a number of 29 digits) contains 333 as substring.

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 2232300300.

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, 130230 + ... + 146370.

Almost surely, 22232300300 is an apocalyptic number.

2232300300 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 2232300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236600136).

2232300300 is an abundant number, since it is smaller than the sum of its proper divisors (4240899972).

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

2232300300 is a wasteful number, since it uses less digits than its factorization.

2232300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16619 (or 16612 counting only the distinct ones).

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

The square root of 2232300300 is about 47247.2253153558. The cubic root of 2232300300 is about 1306.9256227302.

Adding to 2232300300 its reverse (30032322), we get a palindrome (2262332622).

The spelling of 2232300300 in words is "two billion, two hundred thirty-two million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 461 922 1383 1844 2305 2766 4610 5532 6915 9220 11525 13830 16141 23050 27660 32282 34575 46100 48423 64564 69150 80705 96846 138300 161410 193692 242115 322820 403525 484230 807050 968460 1210575 1614100 2421150 4842300 7441001 14882002 22323003 29764004 37205005 44646006 74410010 89292012 111615015 148820020 186025025 223230030 372050050 446460060 558075075 744100100 1116150150 2232300300