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1992228480 = 273351147223
BaseRepresentation
bin111011010111110…
…1111111010000000
312010211201200201000
41312233233322000
513040002302410
6525404212000
7100240443204
oct16657577200
95124650630
101992228480
11932619820
1247723a000
13259985c28
1414c834b04
15b9d79dc0
hex76befe80

1992228480 has 512 divisors, whose sum is σ = 7896268800. Its totient is φ = 470568960.

The previous prime is 1992228479. The next prime is 1992228493. The reversal of 1992228480 is 848222991.

It is a happy number.

It is a super-2 number, since 2×19922284802 = 7937948633046220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8933649 + ... + 8933871.

It is an arithmetic number, because the mean of its divisors is an integer number (15422400).

Almost surely, 21992228480 is an apocalyptic number.

1992228480 is a gapful number since it is divisible by the number (10) 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 1992228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948134400).

1992228480 is an abundant number, since it is smaller than the sum of its proper divisors (5904040320).

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

1992228480 is a wasteful number, since it uses less digits than its factorization.

1992228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1992228480 is about 44634.3867438548. The cubic root of 1992228480 is about 1258.2870146345.

It can be divided in two parts, 199222 and 8480, that added together give a palindrome (207702).

The spelling of 1992228480 in words is "one billion, nine hundred ninety-two million, two hundred twenty-eight thousand, four hundred eighty".