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230120133200 = 24526120874519
BaseRepresentation
bin1101011001010000111…
…0101001001001010000
3210222222110121222122022
43112110032221021100
512232241223230300
6253414333031012
722424406600266
oct3262416511120
9728873558568
10230120133200
11896588a8071
1238722925468
13189145569b9
14b1d047c436
155ebc8cd285
hex35943a9250

230120133200 has 120 divisors (see below), whose sum is σ = 562320616320. Its totient is φ = 90475660800.

The previous prime is 230120133181. The next prime is 230120133211. The reversal of 230120133200 is 2331021032.

It is a congruent number.

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, 50920541 + ... + 50925059.

It is an arithmetic number, because the mean of its divisors is an integer number (4686005136).

Almost surely, 2230120133200 is an apocalyptic number.

230120133200 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 230120133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281160308160).

230120133200 is an abundant number, since it is smaller than the sum of its proper divisors (332200483120).

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

230120133200 is a wasteful number, since it uses less digits than its factorization.

230120133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230120133200 its reverse (2331021032), we get a palindrome (232451154232).

The spelling of 230120133200 in words is "two hundred thirty billion, one hundred twenty million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2087 2440 3050 4174 4519 4880 6100 8348 9038 10435 12200 16696 18076 20870 22595 24400 33392 36152 41740 45190 52175 72304 83480 90380 104350 112975 127307 166960 180760 208700 225950 254614 275659 361520 417400 451900 509228 551318 636535 834800 903800 1018456 1102636 1273070 1378295 1807600 2036912 2205272 2546140 2756590 3182675 4410544 5092280 5513180 6365350 6891475 9431153 10184560 11026360 12730700 13782950 18862306 22052720 25461400 27565900 37724612 47155765 50922800 55131800 75449224 94311530 110263600 150898448 188623060 235778825 377246120 471557650 575300333 754492240 943115300 1150600666 1886230600 2301201332 2876501665 3772461200 4602402664 5753003330 9204805328 11506006660 14382508325 23012013320 28765016650 46024026640 57530033300 115060066600 230120133200