Search a number
-
+
2213133222000 = 243531215730341
BaseRepresentation
bin100000001101001001000…
…001010000000001110000
321211120111001121100011010
4200031021001100001300
5242224444101101000
64412411021350520
7315615335000031
oct40151101200160
97746431540133
102213133222000
1178364800a068
122b8b05a08440
1313090b72b40c
147918ac98a88
153c87e41bd50
hex20349050070

2213133222000 has 160 divisors (see below), whose sum is σ = 7135963608384. Its totient is φ = 590100864000.

The previous prime is 2213133221977. The next prime is 2213133222037. The reversal of 2213133222000 is 2223313122.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 72926830 + ... + 72957170.

Almost surely, 22213133222000 is an apocalyptic number.

2213133222000 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 2213133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567981804192).

2213133222000 is an abundant number, since it is smaller than the sum of its proper divisors (4922830386384).

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

2213133222000 is a wasteful number, since it uses less digits than its factorization.

2213133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42524 (or 42508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2213133222000 its reverse (2223313122), we get a palindrome (2215356535122).

The spelling of 2213133222000 in words is "two trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 12157 24314 30341 36471 48628 60682 60785 72942 91023 97256 121364 121570 145884 151705 182046 182355 194512 242728 243140 291768 303410 303925 364092 364710 455115 485456 486280 583536 606820 607850 728184 729420 758525 910230 911775 972560 1213640 1215700 1456368 1458840 1517050 1519625 1820460 1823550 2275575 2427280 2431400 2917680 3034100 3039250 3640920 3647100 3792625 4551150 4558875 4862800 6068200 6078500 7281840 7294200 7585250 9102300 9117750 11377875 12136400 12157000 14588400 15170500 18204600 18235500 22755750 24314000 30341000 36409200 36471000 45511500 60682000 72942000 91023000 182046000 368855537 737711074 1106566611 1475422148 1844277685 2213133222 2950844296 3688555370 4426266444 5532833055 5901688592 7377110740 8852532888 9221388425 11065666110 14754221480 17705065776 18442776850 22131332220 27664165275 29508442960 36885553700 44262664440 46106942125 55328330550 73771107400 88525328880 92213884250 110656661100 138320826375 147542214800 184427768500 221313322200 276641652750 368855537000 442626644400 553283305500 737711074000 1106566611000 2213133222000