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2262022187040 = 253557112149461
BaseRepresentation
bin100000111010101011000…
…001110110100000100000
322000020200012211002100000
4200322223001312200200
5244030110134441130
64451054133500000
7322266006226560
oct40725301664040
98006605732300
102262022187040
117a2355610100
1230648a7a1600
131354002557b5
147b6a7c16da0
153dc9149b260
hex20eab076820

2262022187040 has 1728 divisors, whose sum is σ = 10145373638400. Its totient is φ = 465863270400.

The previous prime is 2262022187027. The next prime is 2262022187081. The reversal of 2262022187040 is 407812202622.

2262022187040 is a `hidden beast` number, since 2 + 2 + 620 + 2 + 21 + 8 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×22620221870402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2262022186986 and 2262022187004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4906772410 + ... + 4906772870.

It is an arithmetic number, because the mean of its divisors is an integer number (5871165300).

Almost surely, 22262022187040 is an apocalyptic number.

2262022187040 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 2262022187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072686819200).

2262022187040 is an abundant number, since it is smaller than the sum of its proper divisors (7883351451360).

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

2262022187040 is a wasteful number, since it uses less digits than its factorization.

2262022187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 2262022187040 its reverse (407812202622), we get a palindrome (2669834389662).

The spelling of 2262022187040 in words is "two trillion, two hundred sixty-two billion, twenty-two million, one hundred eighty-seven thousand, forty".