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1992340224 = 283272341131
BaseRepresentation
bin111011011000000…
…1011001100000000
312010211221100222200
41312300023030000
513040014341344
6525410433200
7100241420040
oct16660131400
95124840880
101992340224
11932695776
12477292800
132599c4a54
1414c863720
15b9d9d069
hex76c0b300

1992340224 has 432 divisors, whose sum is σ = 7071128064. Its totient is φ = 527155200.

The previous prime is 1992340219. The next prime is 1992340243. The reversal of 1992340224 is 4220432991.

1992340224 is a `hidden beast` number, since 1 + 9 + 92 + 340 + 224 = 666.

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

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, 15208639 + ... + 15208769.

It is an arithmetic number, because the mean of its divisors is an integer number (16368352).

Almost surely, 21992340224 is an apocalyptic number.

1992340224 is a gapful number since it is divisible by the number (14) 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 1992340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535564032).

1992340224 is an abundant number, since it is smaller than the sum of its proper divisors (5078787840).

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

1992340224 is a wasteful number, since it uses less digits than its factorization.

1992340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1992340224 is about 44635.6384966094. The cubic root of 1992340224 is about 1258.3105399474.

The spelling of 1992340224 in words is "one billion, nine hundred ninety-two million, three hundred forty thousand, two hundred twenty-four".