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20202192000 = 273253239587
BaseRepresentation
bin10010110100001001…
…001111110010000000
31221010220222200112100
4102310021033302000
5312333230121000
613140351030400
71313425540644
oct226411176200
957126880470
1020202192000
118627679951
123ab980b400
131b9c54b883
14d990b8c24
157d38a9a00
hex4b424fc80

20202192000 has 384 divisors, whose sum is σ = 72978796800. Its totient is φ = 5355571200.

The previous prime is 20202191987. The next prime is 20202192079. The reversal of 20202192000 is 29120202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 34415707 + ... + 34416293.

It is an arithmetic number, because the mean of its divisors is an integer number (190048950).

Almost surely, 220202192000 is an apocalyptic number.

20202192000 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 20202192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36489398400).

20202192000 is an abundant number, since it is smaller than the sum of its proper divisors (52776604800).

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

20202192000 is a wasteful number, since it uses less digits than its factorization.

20202192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20202192000 in words is "twenty billion, two hundred two million, one hundred ninety-two thousand".