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22012202210000 = 245423532936163
BaseRepresentation
bin1010000000101000111010…
…11111100101001011010000
32212221100100012220211221112
411000110131133211023100
510341121442231210000
6114452133250512452
74431220614424142
oct500243537451320
985840305824845
1022012202210000
1170173603218a2
122576141b95728
13c3898485bac2
14561579524c92
152828c4228235
hex14051d7e52d0

22012202210000 has 400 divisors, whose sum is σ = 56862727802496. Its totient is φ = 8233615104000.

The previous prime is 22012202209973. The next prime is 22012202210041. The reversal of 22012202210000 is 1220221022.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×220122022100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3571666919 + ... + 3571673081.

Almost surely, 222012202210000 is an apocalyptic number.

22012202210000 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 22012202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28431363901248).

22012202210000 is an abundant number, since it is smaller than the sum of its proper divisors (34850525592496).

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

22012202210000 is a wasteful number, since it uses less digits than its factorization.

22012202210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22012202210000 its reverse (1220221022), we get a palindrome (22013422431022).

The spelling of 22012202210000 in words is "twenty-two trillion, twelve billion, two hundred two million, two hundred ten thousand".