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2233222020 = 2232531467857
BaseRepresentation
bin1000010100011100…
…0100001110000100
312202122012102200200
42011013010032010
514033201101040
61005333410500
7106225034241
oct20507041604
95678172620
102233222020
11a46660837
12523a99a30
13297894063
141728485c8
15d10d0630
hex851c4384

2233222020 has 144 divisors (see below), whose sum is σ = 7015776768. Its totient is φ = 574410240.

The previous prime is 2233221959. The next prime is 2233222031. The reversal of 2233222020 is 202223322.

It is a super-2 number, since 2×22332220202 = 9974561181225760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2233221984 and 2233222002.

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 47 ways as a sum of consecutive naturals, for example, 2605432 + ... + 2606288.

It is an arithmetic number, because the mean of its divisors is an integer number (48720672).

Almost surely, 22233222020 is an apocalyptic number.

2233222020 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 2233222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507888384).

2233222020 is an abundant number, since it is smaller than the sum of its proper divisors (4782554748).

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

2233222020 is a wasteful number, since it uses less digits than its factorization.

2233222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2233222020 is about 47256.9785322761. The cubic root of 2233222020 is about 1307.1054751342.

Adding to 2233222020 its reverse (202223322), we get a palindrome (2435445342).

The spelling of 2233222020 in words is "two billion, two hundred thirty-three million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 467 558 620 857 930 934 1116 1395 1401 1714 1860 1868 2335 2571 2790 2802 3428 4203 4285 4670 5142 5580 5604 7005 7713 8406 8570 9340 10284 12855 14010 14477 15426 16812 17140 21015 25710 26567 28020 28954 30852 38565 42030 43431 51420 53134 57908 72385 77130 79701 84060 86862 106268 130293 132835 144770 154260 159402 173724 217155 239103 260586 265670 289540 318804 398505 400219 434310 478206 521172 531340 651465 797010 800438 868620 956412 1195515 1200657 1302930 1594020 1600876 2001095 2391030 2401314 2605860 3601971 4002190 4782060 4802628 6003285 7203942 8004380 12006570 12406789 14407884 18009855 24013140 24813578 36019710 37220367 49627156 62033945 72039420 74440734 111661101 124067890 148881468 186101835 223322202 248135780 372203670 446644404 558305505 744407340 1116611010 2233222020