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22265210000000 = 275711218401
BaseRepresentation
bin1010001000000000001011…
…11011101101001010000000
32220211112101202201021021102
411010000011323231022000
510404243122230000000
6115204255105513532
74455415442233022
oct504000573551200
986745352637242
1022265210000000
117104693657200
1225b71919428a8
13c567a5acbb96
1456d8db5aa012
152892811243d5
hex144005eed280

22265210000000 has 384 divisors, whose sum is σ = 60947483622480. Its totient is φ = 8096000000000.

The previous prime is 22265209999979. The next prime is 22265210000039. The reversal of 22265210000000 is 1256222.

It can be written as a sum of positive squares in 8 ways, for example, as 20749336860736 + 1515873139264 = 4555144^2 + 1231208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209990800 + ... + 1210009200.

Almost surely, 222265210000000 is an apocalyptic number.

22265210000000 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 22265210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30473741811240).

22265210000000 is an abundant number, since it is smaller than the sum of its proper divisors (38682273622480).

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

22265210000000 is an frugal number, since it uses more digits than its factorization.

22265210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18472 (or 18419 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22265210000000 its reverse (1256222), we get a palindrome (22265211256222).

The spelling of 22265210000000 in words is "twenty-two trillion, two hundred sixty-five billion, two hundred ten million", and thus it is an aban number.