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22004310400 = 2752171961349
BaseRepresentation
bin10100011111100011…
…110010000110000000
32002210111222210020021
4110133203302012000
5330031100413100
614035244423224
71406200360312
oct243743620600
962714883207
1022004310400
1193719500a6
124321247b14
1320c8a00c17
1410ca5837b2
1588bbd0a1a
hex51f8f2180

22004310400 has 384 divisors, whose sum is σ = 61753860000. Its totient is φ = 7697203200.

The previous prime is 22004310331. The next prime is 22004310413. The reversal of 22004310400 is 401340022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 63049426 + ... + 63049774.

Almost surely, 222004310400 is an apocalyptic number.

22004310400 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 22004310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30876930000).

22004310400 is an abundant number, since it is smaller than the sum of its proper divisors (39749549600).

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

22004310400 is a wasteful number, since it uses less digits than its factorization.

22004310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22004310400 its reverse (401340022), we get a palindrome (22405650422).

The spelling of 22004310400 in words is "twenty-two billion, four million, three hundred ten thousand, four hundred".