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2220132333324 = 2232953891352489
BaseRepresentation
bin100000010011101010001…
…100101111011100001100
321212020112211200000220110
4200103222030233130030
5242333312334131244
64415525324520020
7316253643315303
oct40235214573414
97766484600813
102220132333324
11786609906a94
122ba3399b0010
131314857b29c9
147965266343a
153cb3db0c9b9
hex204ea32f70c

2220132333324 has 96 divisors (see below), whose sum is σ = 5521405176000. Its totient is φ = 693166329856.

The previous prime is 2220132333269. The next prime is 2220132333337. The reversal of 2220132333324 is 4233332310222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2220132333291 and 2220132333300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965272 + ... + 2317760.

It is an arithmetic number, because the mean of its divisors is an integer number (57514637250).

Almost surely, 22220132333324 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 2220132333324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760702588000).

2220132333324 is an abundant number, since it is smaller than the sum of its proper divisors (3301272842676).

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

2220132333324 is a wasteful number, since it uses less digits than its factorization.

2220132333324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352667 (or 1352665 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 2220132333324 its reverse (4233332310222), we get a palindrome (6453464643546).

The spelling of 2220132333324 in words is "two trillion, two hundred twenty billion, one hundred thirty-two million, three hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 53 58 87 89 106 116 159 174 178 212 267 318 348 356 534 636 1068 1537 2581 3074 4611 4717 5162 6148 7743 9222 9434 10324 14151 15486 18444 18868 28302 30972 56604 136793 273586 410379 547172 820758 1352489 1641516 2704978 4057467 5409956 8114934 16229868 39222181 71681917 78444362 117666543 120371521 143363834 156888724 215045751 235333086 240743042 286727668 361114563 430091502 470666172 481486084 722229126 860183004 1444458252 2078775593 3490774109 4157551186 6236326779 6379690613 6981548218 8315102372 10472322327 12472653558 12759381226 13963096436 19139071839 20944644654 24945307116 25518762452 38278143678 41889289308 76556287356 185011027777 370022055554 555033083331 740044111108 1110066166662 2220132333324