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1922916996 = 22347311313
BaseRepresentation
bin111001010011101…
…0110001010000100
311222000022022020000
41302213112022010
512414231320441
6514450441300
765436345000
oct16247261204
94860268200
101922916996
118a7489000
12457b93230
132484c8910
14143551700
15b3c382b6
hex729d6284

1922916996 has 480 divisors, whose sum is σ = 6944044800. Its totient is φ = 461039040.

The previous prime is 1922916977. The next prime is 1922917013. The reversal of 1922916996 is 6996192291.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (944784) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147916686 + ... + 147916698.

It is an arithmetic number, because the mean of its divisors is an integer number (14466760).

Almost surely, 21922916996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1922916996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472022400).

1922916996 is an abundant number, since it is smaller than the sum of its proper divisors (5021127804).

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

1922916996 is a wasteful number, since it uses less digits than its factorization.

1922916996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 1922916996 is about 43851.0774782103. The cubic root of 1922916996 is about 1243.5221133922.

The spelling of 1922916996 in words is "one billion, nine hundred twenty-two million, nine hundred sixteen thousand, nine hundred ninety-six".