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2022410140000 = 2554687114717
BaseRepresentation
bin11101011011100001000…
…010011011100101100000
321011100012020110220202021
4131123201002123211200
5231113343443440000
64145025444031224
7266054131360135
oct35334102334540
97140166426667
102022410140000
1170a776888748
12287b59092514
13118935368143
146dc56cb458c
153791a62411a
hex1d6e109b960

2022410140000 has 120 divisors (see below), whose sum is σ = 4976494549488. Its totient is φ = 808791360000.

The previous prime is 2022410139991. The next prime is 2022410140139. The reversal of 2022410140000 is 410142202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137412642 + ... + 137427358.

Almost surely, 22022410140000 is an apocalyptic number.

2022410140000 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 2022410140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488247274744).

2022410140000 is an abundant number, since it is smaller than the sum of its proper divisors (2954084409488).

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

2022410140000 is an equidigital number, since it uses as much as digits as its factorization.

2022410140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21618 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2022410140000 its reverse (410142202), we get a palindrome (2022820282202).

The spelling of 2022410140000 in words is "two trillion, twenty-two billion, four hundred ten million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 6871 10000 13742 14717 20000 27484 29434 34355 54968 58868 68710 73585 109936 117736 137420 147170 171775 219872 235472 274840 294340 343550 367925 470944 549680 588680 687100 735850 858875 1099360 1177360 1374200 1471700 1717750 1839625 2354720 2748400 2943400 3435500 3679250 4294375 5496800 5886800 6871000 7358500 8588750 9198125 11773600 13742000 14717000 17177500 18396250 27484000 29434000 34355000 36792500 58868000 68710000 73585000 101120507 137420000 147170000 202241014 294340000 404482028 505602535 808964056 1011205070 1617928112 2022410140 2528012675 3235856224 4044820280 5056025350 8089640560 10112050700 12640063375 16179281120 20224101400 25280126750 40448202800 50560253500 63200316875 80896405600 101120507000 126400633750 202241014000 252801267500 404482028000 505602535000 1011205070000 2022410140000