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1022144841 = 32106572
BaseRepresentation
bin111100111011001…
…011000101001001
32122020100100010100
4330323023011021
54043132113331
6245232040013
734221042054
oct7473130511
92566310110
101022144841
11484a79603
12246393009
131339c1943
1499a73a9b
155eb07ae6
hex3cecb149

1022144841 has 9 divisors (see below), whose sum is σ = 1476569991. Its totient is φ = 681365952.

The previous prime is 1022144833. The next prime is 1022144891. The reversal of 1022144841 is 1484412201.

The square root of 1022144841 is 31971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54686025 + 967458816 = 7395^2 + 31104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1022144841 - 23 = 1022144833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022144891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90585 + ... + 101241.

Almost surely, 21022144841 is an apocalyptic number.

1022144841 is the 31971-st square number.

1022144841 is the 15986-th centered octagonal number.

It is an amenable number.

1022144841 is a deficient number, since it is larger than the sum of its proper divisors (454425150).

1022144841 is an frugal number, since it uses more digits than its factorization.

1022144841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 1022144841 is about 1007.3277860594.

The spelling of 1022144841 in words is "one billion, twenty-two million, one hundred forty-four thousand, eight hundred forty-one".

Divisors: 1 3 9 10657 31971 95913 113571649 340714947 1022144841