Search a number
-
+
233330201400 = 233521473126399
BaseRepresentation
bin1101100101001110010…
…0000101001100111000
3211022021011221100101010
43121103210011030320
512310330012421100
6255105043553520
722600065662562
oct3312344051470
9738234840333
10233330201400
118aa558a789a
123927998b8a0
131900660c13a
14b416928332
156109619750
hex3653905338

233330201400 has 96 divisors (see below), whose sum is σ = 723400128000. Its totient is φ = 62214806400.

The previous prime is 233330201369. The next prime is 233330201431. The reversal of 233330201400 is 4102033332.

It is an interprime number because it is at equal distance from previous prime (233330201369) and next prime (233330201431).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8825401 + ... + 8851799.

It is an arithmetic number, because the mean of its divisors is an integer number (7535418000).

Almost surely, 2233330201400 is an apocalyptic number.

233330201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233330201400 is an abundant number, since it is smaller than the sum of its proper divisors (490069926600).

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

233330201400 is a wasteful number, since it uses less digits than its factorization.

233330201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41149 (or 41140 counting only the distinct ones).

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

Adding to 233330201400 its reverse (4102033332), we get a palindrome (237432234732).

The spelling of 233330201400 in words is "two hundred thirty-three billion, three hundred thirty million, two hundred one thousand, four 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 14731 26399 29462 44193 52798 58924 73655 79197 88386 105596 117848 131995 147310 158394 176772 211192 220965 263990 294620 316788 353544 368275 395985 441930 527980 589240 633576 659975 736550 791970 883860 1055960 1104825 1319950 1473100 1583940 1767720 1979925 2209650 2639900 2946200 3167880 3959850 4419300 5279800 7919700 8838600 15839400 388883669 777767338 1166651007 1555534676 1944418345 2333302014 3111069352 3888836690 4666604028 5833255035 7777673380 9333208056 9722091725 11666510070 15555346760 19444183450 23333020140 29166275175 38888366900 46666040280 58332550350 77776733800 116665100700 233330201400