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2022121140 = 22351318114323
BaseRepresentation
bin111100010000111…
…0001111010110100
312012220222101201120
41320201301322310
513120130334030
6532353023540
7101052513624
oct17041617264
95186871646
102022121140
119484865a6
12485254bb0
13262c210b0
141527b6884
15bc7d2010
hex78871eb4

2022121140 has 96 divisors (see below), whose sum is σ = 6131588736. Its totient is φ = 494968320.

The previous prime is 2022121121. The next prime is 2022121141. The reversal of 2022121140 is 411212202.

2022121140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022121141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134019 + ... + 148341.

It is an arithmetic number, because the mean of its divisors is an integer number (63870716).

Almost surely, 22022121140 is an apocalyptic number.

2022121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065794368).

2022121140 is an abundant number, since it is smaller than the sum of its proper divisors (4109467596).

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

2022121140 is a wasteful number, since it uses less digits than its factorization.

2022121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14529 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2022121140 is about 44968.0012898061. The cubic root of 2022121140 is about 1264.5491766865.

Adding to 2022121140 its reverse (411212202), we get a palindrome (2433333342).

The spelling of 2022121140 in words is "two billion, twenty-two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 724 780 905 1086 1810 2172 2353 2715 3620 4706 5430 7059 9412 10860 11765 14118 14323 23530 28236 28646 35295 42969 47060 57292 70590 71615 85938 141180 143230 171876 186199 214845 286460 372398 429690 558597 744796 859380 930995 1117194 1861990 2234388 2592463 2792985 3723980 5184926 5585970 7777389 10369852 11171940 12962315 15554778 25924630 31109556 33702019 38886945 51849260 67404038 77773890 101106057 134808076 155547780 168510095 202212114 337020190 404424228 505530285 674040380 1011060570 2022121140