Search a number
-
+
1996225920 = 273251353503
BaseRepresentation
bin111011011111011…
…1111110110000000
312011010020210011100
41312332333312000
513042013212140
6530030014400
7100316432433
oct16676776600
95133223140
101996225920
119348aa097
12478647400
1325a755590
1414d19581a
15ba3b9530
hex76fbfd80

1996225920 has 384 divisors, whose sum is σ = 7578567360. Its totient is φ = 481148928.

The previous prime is 1996225897. The next prime is 1996226009. The reversal of 1996225920 is 295226991.

1996225920 is a `hidden beast` number, since 19 + 9 + 622 + 5 + 9 + 2 + 0 = 666.

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

It is a Smith number, since the sum of its digits (45) 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 (45).

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, 3968389 + ... + 3968891.

Almost surely, 21996225920 is an apocalyptic number.

1996225920 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 1996225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789283680).

1996225920 is an abundant number, since it is smaller than the sum of its proper divisors (5582341440).

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

1996225920 is a wasteful number, since it uses less digits than its factorization.

1996225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1996225920 is about 44679.1441278814. The cubic root of 1996225920 is about 1259.1280437347.

The spelling of 1996225920 in words is "one billion, nine hundred ninety-six million, two hundred twenty-five thousand, nine hundred twenty".