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22403424000412 = 227131011777342929
BaseRepresentation
bin1010001100000001101000…
…01000010001100110011100
32221022202011010201222011201
411012000310020101212130
510414024203021003122
6115351554011325244
74501410505655320
oct506006410214634
987282133658151
1022403424000412
117158269879424
122619b25450824
13c66831663490
1457648d927980
1528cb70155a27
hex14603421199c

22403424000412 has 96 divisors (see below), whose sum is σ = 48758851854720. Its totient is φ = 8770177843200.

The previous prime is 22403424000401. The next prime is 22403424000413. The reversal of 22403424000412 is 21400042430422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22403424000413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65158164 + ... + 65501092.

It is an arithmetic number, because the mean of its divisors is an integer number (507904706820).

Almost surely, 222403424000412 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 22403424000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379425927360).

22403424000412 is an abundant number, since it is smaller than the sum of its proper divisors (26355427854308).

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

22403424000412 is a wasteful number, since it uses less digits than its factorization.

22403424000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344831 (or 344829 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22403424000412 its reverse (21400042430422), we get a palindrome (43803466430834).

The spelling of 22403424000412 in words is "twenty-two trillion, four hundred three billion, four hundred twenty-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 1777 2626 2828 3554 5252 7108 9191 12439 18382 23101 24878 36764 46202 49756 92404 161707 179477 323414 342929 358954 646828 685858 717908 1256339 1371716 2333201 2400503 2512678 4458077 4666402 4801006 5025356 8916154 9332804 9602012 16332407 17832308 31206539 32664814 34635829 62413078 65329628 69271658 124826156 138543316 242450803 450265777 484901606 609384833 900531554 969803212 1218769666 1801063108 2437539332 3151860439 4265693831 6303720878 7922002829 8531387662 12607441756 15844005658 17062775324 31688011316 55454019803 61547868133 110908039606 123095736266 221816079212 246191472532 430835076931 800122285729 861670153862 1600244571458 1723340307724 3200489142916 5600856000103 11201712000206 22403424000412