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2032068192 = 253711267373
BaseRepresentation
bin111100100011110…
…1110011001100000
312020121200202111220
41321013232121200
513130202140232
6533350135040
7101233203030
oct17107563140
95217622456
102032068192
1195305aa00
12488651480
13264cc481b
14153c458c0
15bd5e942c
hex791ee660

2032068192 has 288 divisors, whose sum is σ = 6819031296. Its totient is φ = 518538240.

The previous prime is 2032068179. The next prime is 2032068211. The reversal of 2032068192 is 2918602302.

It is a happy number.

It is a super-2 number, since 2×20320681922 = 8258602273876297728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5447718 + ... + 5448090.

It is an arithmetic number, because the mean of its divisors is an integer number (23677192).

Almost surely, 22032068192 is an apocalyptic number.

2032068192 is a gapful number since it is divisible by the number (22) 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 2032068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409515648).

2032068192 is an abundant number, since it is smaller than the sum of its proper divisors (4786963104).

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

2032068192 is a wasteful number, since it uses less digits than its factorization.

2032068192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2032068192 is about 45078.4670546814. The cubic root of 2032068192 is about 1266.6192748043.

The spelling of 2032068192 in words is "two billion, thirty-two million, sixty-eight thousand, one hundred ninety-two".