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2022330042 = 232193757769
BaseRepresentation
bin111100010001010…
…0100111010111010
312012221101000021200
41320202210322322
513120204030132
6532401315030
7101054343645
oct17042447272
95187330250
102022330042
11948609547
12485335a76
13262c951c5
1415282ca5c
15bc823d7c
hex788a4eba

2022330042 has 48 divisors (see below), whose sum is σ = 4415971560. Its totient is φ = 668860416.

The previous prime is 2022330041. The next prime is 2022330073. The reversal of 2022330042 is 2400332202.

It can be written as a sum of positive squares in 4 ways, for example, as 1517024601 + 505305441 = 38949^2 + 22479^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2022329997 and 2022330024.

It is not an unprimeable number, because it can be changed into a prime (2022330041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629434 + ... + 2630202.

Almost surely, 22022330042 is an apocalyptic number.

2022330042 is an abundant number, since it is smaller than the sum of its proper divisors (2393641518).

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

2022330042 is a wasteful number, since it uses less digits than its factorization.

2022330042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2022330042 is about 44970.3240148434. The cubic root of 2022330042 is about 1264.5927213503.

Adding to 2022330042 its reverse (2400332202), we get a palindrome (4422662244).

The spelling of 2022330042 in words is "two billion, twenty-two million, three hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 193 386 579 757 769 1158 1514 1538 1737 2271 2307 3474 4542 4614 6813 6921 13626 13842 146101 148417 292202 296834 438303 445251 582133 876606 890502 1164266 1314909 1335753 1746399 2629818 2671506 3492798 5239197 10478394 112351669 224703338 337055007 674110014 1011165021 2022330042