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1921912164 = 223337480959
BaseRepresentation
bin111001010001110…
…0000110101100100
311221221102020212000
41302203200311210
512414002142124
6514413125300
765424661314
oct16243406544
94857366760
101921912164
118a6962067
12457789830
13248236443
1414336d444
15b3ada6c9
hex728e0d64

1921912164 has 48 divisors (see below), whose sum is σ = 5117414400. Its totient is φ = 623321568.

The previous prime is 1921912163. The next prime is 1921912199. The reversal of 1921912164 is 4612191291.

It is a happy number.

It is a super-2 number, since 2×19219121642 = 7387492732262325792, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (1921912163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236484 + ... + 244475.

It is an arithmetic number, because the mean of its divisors is an integer number (106612800).

Almost surely, 21921912164 is an apocalyptic number.

It is an amenable number.

1921912164 is an abundant number, since it is smaller than the sum of its proper divisors (3195502236).

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

1921912164 is a wasteful number, since it uses less digits than its factorization.

1921912164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481009 (or 481001 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1921912164 is about 43839.6186571006. The cubic root of 1921912164 is about 1243.3054722981.

The spelling of 1921912164 in words is "one billion, nine hundred twenty-one million, nine hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 480959 961918 1442877 1923836 2885754 4328631 5771508 8657262 12985893 17314524 17795483 25971786 35590966 51943572 53386449 71181932 106772898 160159347 213545796 320318694 480478041 640637388 960956082 1921912164