Search a number
-
+
233130001200 = 24352233983059
BaseRepresentation
bin1101100100011110100…
…0011000001100110000
3211021202020020010022220
43121013220120030300
512304422240014300
6255033133001040
722562115212535
oct3310750301460
9737666203286
10233130001200
118a962898488
1239222923180
1318ca3cb4995
14b3d80d2d8c
1560e6c70da0
hex3647a18330

233130001200 has 120 divisors (see below), whose sum is σ = 747121377600. Its totient is φ = 62140673280.

The previous prime is 233130001199. The next prime is 233130001213. The reversal of 233130001200 is 2100031332.

It is a tau number, because it is divible by the number of its divisors (120).

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 233130001200.

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, 2765271 + ... + 2848329.

It is an arithmetic number, because the mean of its divisors is an integer number (6226011480).

Almost surely, 2233130001200 is an apocalyptic number.

233130001200 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 233130001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373560688800).

233130001200 is an abundant number, since it is smaller than the sum of its proper divisors (513991376400).

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

233130001200 is a wasteful number, since it uses less digits than its factorization.

233130001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85419 (or 85408 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 233130001200 its reverse (2100031332), we get a palindrome (235230032532).

The spelling of 233130001200 in words is "two hundred thirty-three billion, one hundred thirty million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2339 4678 7017 9356 11695 14034 18712 23390 28068 35085 37424 46780 56136 58475 70170 83059 93560 112272 116950 140340 166118 175425 187120 233900 249177 280680 332236 350850 415295 467800 498354 561360 664472 701700 830590 935600 996708 1245885 1328944 1403400 1661180 1993416 2076475 2491770 2806800 3322360 3986832 4152950 4983540 6229425 6644720 8305900 9967080 12458850 16611800 19934160 24917700 33223600 49835400 99670800 194275001 388550002 582825003 777100004 971375005 1165650006 1554200008 1942750010 2331300012 2914125015 3108400016 3885500020 4662600024 4856875025 5828250030 7771000040 9325200048 9713750050 11656500060 14570625075 15542000080 19427500100 23313000120 29141250150 38855000200 46626000240 58282500300 77710000400 116565000600 233130001200