Search a number
-
+
22033133211320 = 23571126641268519
BaseRepresentation
bin1010000001001111111010…
…00101000000111010111000
32220000100100221021212220122
411000213331011000322320
510341442324100230240
6114505514234512412
74432561403125460
oct500477505007270
986010327255818
1022033133211320
1170252213279a0
12257a203895708
13c3a93c095a9a
145625a3316ba0
152831eba964b5
hex1409fd140eb8

22033133211320 has 128 divisors (see below), whose sum is σ = 61809781017600. Its totient is φ = 6867186739200.

The previous prime is 22033133211281. The next prime is 22033133211377. The reversal of 22033133211320 is 2311233133022.

It is a super-2 number, since 2×220331332113202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22033133211320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81920021 + ... + 82188539.

It is an arithmetic number, because the mean of its divisors is an integer number (482888914200).

Almost surely, 222033133211320 is an apocalyptic number.

22033133211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22033133211320 is an abundant number, since it is smaller than the sum of its proper divisors (39776647806280).

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

22033133211320 is a wasteful number, since it uses less digits than its factorization.

22033133211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295189 (or 295185 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 22033133211320 its reverse (2311233133022), we get a palindrome (24344366344342).

The spelling of 22033133211320 in words is "twenty-two trillion, thirty-three billion, one hundred thirty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 26641 53282 106564 133205 186487 213128 266410 268519 293051 372974 532820 537038 586102 745948 932435 1065640 1074076 1172204 1342595 1465255 1491896 1864870 1879633 2051357 2148152 2344408 2685190 2930510 2953709 3729740 3759266 4102714 5370380 5861020 5907418 7459480 7518532 8205428 9398165 10256785 10740760 11722040 11814836 14768545 15037064 16410856 18796330 20513570 20675963 23629672 29537090 37592660 41027140 41351926 59074180 75185320 82054280 82703852 103379815 118148360 165407704 206759630 413519260 827038520 7153614679 14307229358 28614458716 35768073395 50075302753 57228917432 71536146790 78689761469 100150605506 143072293580 157379522938 200301211012 250376513765 286144587160 314759045876 393448807345 400602422024 500753027530 550828330283 629518091752 786897614690 1001506055060 1101656660566 1573795229380 2003012110120 2203313321132 2754141651415 3147590458760 4406626642264 5508283302830 11016566605660 22033133211320