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2022690132 = 2232732293361
BaseRepresentation
bin111100010001111…
…1100110101010100
312012222001022020100
41320203330311110
513120302041012
6532413134100
7101060403531
oct17043746524
95188038210
102022690132
11948835041
1248548a330
13263090088
141528c3d88
15bc8958dc
hex788fcd54

2022690132 has 72 divisors (see below), whose sum is σ = 5207132840. Its totient is φ = 661893120.

The previous prime is 2022690119. The next prime is 2022690143. The reversal of 2022690132 is 2310962202.

It can be written as a sum of positive squares in 4 ways, for example, as 1076758596 + 945931536 = 32814^2 + 30756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2022690096 and 2022690105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600132 + ... + 603492.

Almost surely, 22022690132 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 2022690132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603566420).

2022690132 is an abundant number, since it is smaller than the sum of its proper divisors (3184442708).

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

2022690132 is a wasteful number, since it uses less digits than its factorization.

2022690132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2022690132 is about 44974.3274769062. The cubic root of 2022690132 is about 1264.6677734205.

The spelling of 2022690132 in words is "two billion, twenty-two million, six hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 229 292 438 458 657 687 876 916 1314 1374 2061 2628 2748 3361 4122 6722 8244 10083 13444 16717 20166 30249 33434 40332 50151 60498 66868 100302 120996 150453 200604 245353 300906 490706 601812 736059 769669 981412 1472118 1539338 2208177 2309007 2944236 3078676 4416354 4618014 6927021 8832708 9236028 13854042 27708084 56185837 112371674 168557511 224743348 337115022 505672533 674230044 1011345066 2022690132