Search a number
-
+
22210200021000 = 233537969392899
BaseRepresentation
bin1010000110011001101110…
…00101010010100000001000
32220122021102000201210110210
411003030313011102200020
510402342442201133000
6115123120335041120
74451430314151345
oct503146705224010
986567360653423
1022210200021000
117093324990842
1225a859b0701a0
13c5154a118454
1456ad9d73b7cc
15287b11a06350
hex143337152808

22210200021000 has 128 divisors (see below), whose sum is σ = 69297439536000. Its totient is φ = 5922581932800.

The previous prime is 22210200020999. The next prime is 22210200021001. The reversal of 22210200021000 is 12000201222.

It is an interprime number because it is at equal distance from previous prime (22210200020999) and next prime (22210200021001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22210200021001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 239032551 + ... + 239125449.

It is an arithmetic number, because the mean of its divisors is an integer number (541386246375).

Almost surely, 222210200021000 is an apocalyptic number.

22210200021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210200021000 is an abundant number, since it is smaller than the sum of its proper divisors (47087239515000).

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

22210200021000 is a wasteful number, since it uses less digits than its factorization.

22210200021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172616 (or 172602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22210200021000 its reverse (12000201222), we get a palindrome (22222200222222).

The spelling of 22210200021000 in words is "twenty-two trillion, two hundred ten billion, two hundred million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 79693 92899 159386 185798 239079 278697 318772 371596 398465 464495 478158 557394 637544 743192 796930 928990 956316 1114788 1195395 1393485 1593860 1857980 1912632 1992325 2229576 2322475 2390790 2786970 3187720 3715960 3984650 4644950 4781580 5573940 5976975 6967425 7969300 9289900 9563160 9961625 11147880 11612375 11953950 13934850 15938600 18579800 19923250 23224750 23907900 27869700 29884875 34837125 39846500 46449500 47815800 55739400 59769750 69674250 79693000 92899000 119539500 139348500 239079000 278697000 7403400007 14806800014 22210200021 29613600028 37017000035 44420400042 59227200056 74034000070 88840800084 111051000105 148068000140 177681600168 185085000175 222102000210 296136000280 370170000350 444204000420 555255000525 740340000700 888408000840 925425000875 1110510001050 1480680001400 1850850001750 2221020002100 2776275002625 3701700003500 4442040004200 5552550005250 7403400007000 11105100010500 22210200021000