Search a number
-
+
233133202200 = 23352920942193
BaseRepresentation
bin1101100100011111010…
…0100101101100011000
3211021202110020202021110
43121013310211230120
512304424044432300
6255033325340320
722562154344103
oct3310764455430
9737673222243
10233133202200
118a964684438
1239223a076a0
1318ca4865972
14b3d86c773a
1560e71a4550
hex3647d25b18

233133202200 has 96 divisors (see below), whose sum is σ = 722808536400. Its totient is φ = 62160629760.

The previous prime is 233133202199. The next prime is 233133202207. The reversal of 233133202200 is 2202331332.

233133202200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233133202207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5504304 + ... + 5546496.

Almost surely, 2233133202200 is an apocalyptic number.

233133202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233133202200 is an abundant number, since it is smaller than the sum of its proper divisors (489675334200).

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

233133202200 is a wasteful number, since it uses less digits than its factorization.

233133202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51421 (or 51412 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233133202200 its reverse (2202331332), we get a palindrome (235335533532).

The spelling of 233133202200 in words is "two hundred thirty-three billion, one hundred thirty-three million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 9209 18418 27627 36836 42193 46045 55254 73672 84386 92090 110508 126579 138135 168772 184180 210965 221016 230225 253158 276270 337544 368360 421930 460450 506316 552540 632895 690675 843860 920900 1012632 1054825 1105080 1265790 1381350 1687720 1841800 2109650 2531580 2762700 3164475 4219300 5063160 5525400 6328950 8438600 12657900 25315800 388555337 777110674 1165666011 1554221348 1942776685 2331332022 3108442696 3885553370 4662664044 5828330055 7771106740 9325328088 9713883425 11656660110 15542213480 19427766850 23313320220 29141650275 38855533700 46626640440 58283300550 77711067400 116566601100 233133202200