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22023203200032 = 2531012789814403
BaseRepresentation
bin1010000000111101011010…
…01101000001110000100000
32212222101201220020001020210
411000132231031001300200
510341312010004400112
6114501153032134120
74432060335332316
oct500365515016040
985871656201223
1022023203200032
117020a960764a1
1225782b2237340
13c39a18a41c68
14561d005b20b6
15282d19e10b3c
hex1407ad341c20

22023203200032 has 96 divisors (see below), whose sum is σ = 58404298760640. Its totient is φ = 7265768883200.

The previous prime is 22023203200003. The next prime is 22023203200039. The reversal of 22023203200032 is 23000230232022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 22023203199981 and 22023203200008.

It is not an unprimeable number, because it can be changed into a prime (22023203200039) 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 15 ways as a sum of consecutive naturals, for example, 26634943 + ... + 27449345.

It is an arithmetic number, because the mean of its divisors is an integer number (608378112090).

Almost surely, 222023203200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22023203200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29202149380320).

22023203200032 is an abundant number, since it is smaller than the sum of its proper divisors (36381095560608).

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

22023203200032 is a wasteful number, since it uses less digits than its factorization.

22023203200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817306 (or 817298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22023203200032 its reverse (23000230232022), we get a palindrome (45023433432054).

The spelling of 22023203200032 in words is "twenty-two trillion, twenty-three billion, two hundred three million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 2789 3232 4848 5578 8367 9696 11156 16734 22312 33468 44624 66936 89248 133872 267744 281689 563378 814403 845067 1126756 1628806 1690134 2253512 2443209 3257612 3380268 4507024 4886418 6515224 6760536 9014048 9772836 13030448 13521072 19545672 26060896 27042144 39091344 78182688 82254703 164509406 246764109 329018812 493528218 658037624 987056436 1316075248 1974112872 2271369967 2632150496 3948225744 4542739934 6814109901 7896451488 9085479868 13628219802 18170959736 27256439604 36341919472 54512879208 72683838944 109025758416 218051516832 229408366667 458816733334 688225100001 917633466668 1376450200002 1835266933336 2752900400004 3670533866672 5505800800008 7341067733344 11011601600016 22023203200032