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22221053142240 = 2535592293426383
BaseRepresentation
bin1010000110101101111011…
…11110101010010011100000
32220200022102101210110221010
411003112331332222103200
510403032204101022430
6115132113315100520
74452263261154261
oct503267576522340
986608371713833
1022221053142240
117097994219427
1225aa7098a1740
13c52589797794
1456b70ccd6968
15288049730cb0
hex1435bdfaa4e0

22221053142240 has 192 divisors, whose sum is σ = 71493557990400. Its totient is φ = 5799740872704.

The previous prime is 22221053142161. The next prime is 22221053142257. The reversal of 22221053142240 is 4224135012222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22221053142198 and 22221053142207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4772089 + ... + 8198471.

It is an arithmetic number, because the mean of its divisors is an integer number (372362281200).

Almost surely, 222221053142240 is an apocalyptic number.

22221053142240 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 22221053142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35746778995200).

22221053142240 is an abundant number, since it is smaller than the sum of its proper divisors (49272504848160).

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

22221053142240 is a wasteful number, since it uses less digits than its factorization.

22221053142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426689 (or 3426681 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22221053142240 its reverse (4224135012222), we get a palindrome (26445188154462).

The spelling of 22221053142240 in words is "twenty-two trillion, two hundred twenty-one billion, fifty-three million, one hundred forty-two thousand, two hundred forty".