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221334042020 = 225713169771663
BaseRepresentation
bin1100111000100010001…
…0010111010110100100
3210011022011001022100212
43032020202113112210
512111243003321040
6245402432354552
721663602213150
oct3161042272644
9704264038325
10221334042020
118595a329793
1236a903a5a58
1317b441c0790
14a9d962a060
155b563a6d65
hex33888975a4

221334042020 has 96 divisors (see below), whose sum is σ = 572408460288. Its totient is φ = 70006321152.

The previous prime is 221334042001. The next prime is 221334042047. The reversal of 221334042020 is 20240433122.

It is a super-2 number, since 2×2213340420202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 3052709 + ... + 3124371.

It is an arithmetic number, because the mean of its divisors is an integer number (5962588128).

Almost surely, 2221334042020 is an apocalyptic number.

221334042020 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 221334042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286204230144).

221334042020 is an abundant number, since it is smaller than the sum of its proper divisors (351074418268).

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

221334042020 is a wasteful number, since it uses less digits than its factorization.

221334042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73389 (or 73387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 221334042020 its reverse (20240433122), we get a palindrome (241574475142).

The spelling of 221334042020 in words is "two hundred twenty-one billion, three hundred thirty-four million, forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1697 1820 3394 6788 8485 11879 16970 22061 23758 33940 44122 47516 59395 71663 88244 110305 118790 143326 154427 220610 237580 286652 308854 358315 441220 501641 617708 716630 772135 931619 1003282 1433260 1544270 1863238 2006564 2508205 3088540 3726476 4658095 5016410 6521333 9316190 10032820 13042666 18632380 26085332 32606665 65213330 121612111 130426660 243224222 486448444 608060555 851284777 1216121110 1580957443 1702569554 2432242220 3161914886 3405139108 4256423885 6323829772 7904787215 8512847770 11066702101 15809574430 17025695540 22133404202 31619148860 44266808404 55333510505 110667021010 221334042020