Search a number
-
+
2300000203320 = 2335192343859653
BaseRepresentation
bin100001011110000010101…
…100011111001000111000
322010212200222011012121120
4201132002230133020320
5300140400023001240
64520334442305240
7325112102105241
oct41360254371070
98125628135546
102300000203320
11807474176916
123119094b8220
13138b73434691
147d46ba45cc8
153ec656cbad0
hex21782b1f238

2300000203320 has 128 divisors (see below), whose sum is σ = 7578948211200. Its totient is φ = 555789510144.

The previous prime is 2300000203231. The next prime is 2300000203349. The reversal of 2300000203320 is 233020000032.

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 2300000203320.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21877387 + ... + 21982266.

It is an arithmetic number, because the mean of its divisors is an integer number (59210532900).

Almost surely, 22300000203320 is an apocalyptic number.

2300000203320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300000203320 is an abundant number, since it is smaller than the sum of its proper divisors (5278948007880).

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

2300000203320 is a wasteful number, since it uses less digits than its factorization.

2300000203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43859709 (or 43859705 counting only the distinct ones).

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

Adding to 2300000203320 its reverse (233020000032), we get a palindrome (2533020203352).

The spelling of 2300000203320 in words is "two trillion, three hundred billion, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 43859653 87719306 131578959 175438612 219298265 263157918 350877224 438596530 526315836 657894795 833333407 877193060 1008772019 1052631672 1315789590 1666666814 1754386120 2017544038 2500000221 2631579180 3026316057 3333333628 4035088076 4166667035 5000000442 5043860095 5263158360 6052632114 6666667256 8070176152 8333334070 10000000884 10087720190 12105264228 12500001105 15131580285 16666668140 19166668361 20000001768 20175440380 24210528456 25000002210 30263160570 33333336280 38333336722 40350880760 50000004420 57500005083 60526321140 76666673444 95833341805 100000008840 115000010166 121052642280 153333346888 191666683610 230000020332 287500025415 383333367220 460000040664 575000050830 766666734440 1150000101660 2300000203320