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2022210112 = 261317142973
BaseRepresentation
bin111100010001000…
…0111101001000000
312012221010220202211
41320202013221000
513120141210422
6532354551504
7101053334206
oct17042075100
95187126684
102022210112
1194853742a
12485298594
13262c52740
141527db076
15bc7ed577
hex78887a40

2022210112 has 56 divisors (see below), whose sum is σ = 4575739896. Its totient is φ = 878419968.

The previous prime is 2022210103. The next prime is 2022210121. The reversal of 2022210112 is 2110122202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2022210103) and next prime (2022210121).

It can be written as a sum of positive squares in 4 ways, for example, as 594579456 + 1427630656 = 24384^2 + 37784^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2022210092 and 2022210101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57343 + ... + 85630.

It is an arithmetic number, because the mean of its divisors is an integer number (81709641).

Almost surely, 22022210112 is an apocalyptic number.

It is an amenable number.

2022210112 is an abundant number, since it is smaller than the sum of its proper divisors (2553529784).

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

2022210112 is a wasteful number, since it uses less digits than its factorization.

2022210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143015 (or 143005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2022210112 is about 44968.9905601627. The cubic root of 2022210112 is about 1264.5677228585.

Adding to 2022210112 its reverse (2110122202), we get a palindrome (4132332314).

The spelling of 2022210112 in words is "two billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 142973 285946 571892 1143784 1858649 2287568 2430541 3717298 4575136 4861082 7434596 9150272 9722164 14869192 19444328 29738384 31597033 38888656 59476768 63194066 77777312 118953536 126388132 155554624 252776264 505552528 1011105056 2022210112