Search a number
-
+
2194436640 = 253511237783
BaseRepresentation
bin1000001011001100…
…0111001000100000
312122221012221011010
42002303013020200
513443233433030
61001430220520
7105244255314
oct20263071040
95587187133
102194436640
11a2677a800
12512ab4740
1328c834326
1416b62db44
15cc9bd6b0
hex82cc7220

2194436640 has 144 divisors (see below), whose sum is σ = 7598211264. Its totient is φ = 531970560.

The previous prime is 2194436593. The next prime is 2194436659. The reversal of 2194436640 is 466344912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39189 + ... + 76971.

It is an arithmetic number, because the mean of its divisors is an integer number (52765356).

Almost surely, 22194436640 is an apocalyptic number.

2194436640 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 2194436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799105632).

2194436640 is an abundant number, since it is smaller than the sum of its proper divisors (5403774624).

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

2194436640 is a wasteful number, since it uses less digits than its factorization.

2194436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37823 (or 37804 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2194436640 is about 46844.8144408749. The cubic root of 2194436640 is about 1299.4942095495.

It can be divided in two parts, 2194 and 436640, that added together give a palindrome (438834).

The spelling of 2194436640 in words is "two billion, one hundred ninety-four million, four hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 37783 58080 75566 113349 151132 188915 226698 302264 377830 415613 453396 566745 604528 755660 831226 906792 1133490 1209056 1246839 1511320 1662452 1813584 2078065 2266980 2493678 3022640 3324904 3627168 4156130 4533960 4571743 4987356 6045280 6234195 6649808 8312260 9067920 9143486 9974712 12468390 13299616 13715229 16624520 18135840 18286972 19949424 22858715 24936780 27430458 33249040 36573944 39898848 45717430 49873560 54860916 66498080 68576145 73147888 91434860 99747120 109721832 137152290 146295776 182869720 199494240 219443664 274304580 365739440 438887328 548609160 731478880 1097218320 2194436640