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192097152 = 273213101127
BaseRepresentation
bin10110111001100…
…10101110000000
3111101110112202100
423130302232000
5343134102102
631021150400
74521541002
oct1334625600
9441415670
10192097152
1199485485
12543bb400
1330a4b170
141b726372
1511ce7a1c
hexb732b80

192097152 has 192 divisors, whose sum is σ = 605928960. Its totient is φ = 58060800.

The previous prime is 192097141. The next prime is 192097159. The reversal of 192097152 is 251790291.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1920971522 = 73802631613022208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192097159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512513 + ... + 1512639.

It is an arithmetic number, because the mean of its divisors is an integer number (3155880).

Almost surely, 2192097152 is an apocalyptic number.

192097152 is a gapful number since it is divisible by the number (12) 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 192097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302964480).

192097152 is an abundant number, since it is smaller than the sum of its proper divisors (413831808).

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

192097152 is a wasteful number, since it uses less digits than its factorization.

192097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 192097152 is about 13859.9116880303. The cubic root of 192097152 is about 576.9971154867.

The spelling of 192097152 in words is "one hundred ninety-two million, ninety-seven thousand, one hundred fifty-two".