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22198825152 = 2632727571039
BaseRepresentation
bin10100101011001001…
…110011000011000000
32010022002000011022100
4110223021303003000
5330430344401102
614110433510400
71414051620600
oct245311630300
963262004270
1022198825152
119461726999
124376412400
13212a0b75ca
141108338c00
1589dd04a1c
hex52b2730c0

22198825152 has 252 divisors, whose sum is σ = 74186430240. Its totient is φ = 6328046592.

The previous prime is 22198825127. The next prime is 22198825171. The reversal of 22198825152 is 25152889122.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 22198825098 and 22198825107.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21365049 + ... + 21366087.

Almost surely, 222198825152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22198825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37093215120).

22198825152 is an abundant number, since it is smaller than the sum of its proper divisors (51987605088).

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

22198825152 is a wasteful number, since it uses less digits than its factorization.

22198825152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1808 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 22198825152 in words is "twenty-two billion, one hundred ninety-eight million, eight hundred twenty-five thousand, one hundred fifty-two".