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22223420342400 = 2735210092294291
BaseRepresentation
bin1010000110110010010110…
…00100110100000010000000
32220200112112101002201002010
411003121023010310002000
510403102031101424100
6115133144240252520
74452406034061414
oct503311304640200
986615471081063
1022223420342400
1170989994689a2
1225ab06a611140
13c5287603ac34
1456b895458d44
15288137478750
hex14364b134080

22223420342400 has 192 divisors, whose sum is σ = 73270968170400. Its totient is φ = 5920369459200.

The previous prime is 22223420342267. The next prime is 22223420342429. The reversal of 22223420342400 is 424302432222.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8539255 + ... + 10833545.

Almost surely, 222223420342400 is an apocalyptic number.

22223420342400 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 22223420342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36635484085200).

22223420342400 is an abundant number, since it is smaller than the sum of its proper divisors (51047547828000).

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

22223420342400 is a wasteful number, since it uses less digits than its factorization.

22223420342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295327 (or 2295310 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 22223420342400 its reverse (424302432222), we get a palindrome (22647722774622).

The spelling of 22223420342400 in words is "twenty-two trillion, two hundred twenty-three billion, four hundred twenty million, three hundred forty-two thousand, four hundred".