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202240130022 = 233731163105883
BaseRepresentation
bin1011110001011001110…
…0110111101111100110
3201100000110111002012000
42330112130313233212
511303141433130042
6232524031510130
720416461512220
oct2742634675746
9640013432160
10202240130022
1178851310027
1233241988346
13160c04615b8
149b07807410
1553d9e6b74c
hex2f16737be6

202240130022 has 128 divisors (see below), whose sum is σ = 533452062720. Its totient is φ = 55575344160.

The previous prime is 202240130021. The next prime is 202240130149. The reversal of 202240130022 is 220031042202.

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 = 202240129977 and 202240130004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202240130021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1857093 + ... + 1962975.

It is an arithmetic number, because the mean of its divisors is an integer number (4167594240).

Almost surely, 2202240130022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202240130022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266726031360).

202240130022 is an abundant number, since it is smaller than the sum of its proper divisors (331211932698).

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

202240130022 is a wasteful number, since it uses less digits than its factorization.

202240130022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106095 (or 106089 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202240130022 its reverse (220031042202), we get a palindrome (422271172224).

The spelling of 202240130022 in words is "two hundred two billion, two hundred forty million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 163 186 189 217 279 326 378 434 489 558 651 837 978 1141 1302 1467 1674 1953 2282 2934 3423 3906 4401 5053 5859 6846 8802 10106 10269 11718 15159 20538 30318 30807 35371 45477 61614 70742 90954 105883 106113 136431 211766 212226 272862 317649 318339 635298 636678 741181 952947 955017 1482362 1905894 1910034 2223543 2858841 3282373 4447086 5717682 6564746 6670629 9847119 13341258 17258929 19694238 20011887 22976611 29541357 34517858 40023774 45953222 51776787 59082714 68929833 88624071 103553574 120812503 137859666 155330361 177248142 206789499 241625006 310660722 362437509 413578998 465991083 535026799 620368497 724875018 931982166 1070053598 1087312527 1240736994 1605080397 2174625054 3210160794 3261937581 3745187593 4815241191 6523875162 7490375186 9630482382 11235562779 14445723573 22471125558 28891447146 33706688337 67413376674 101120065011 202240130022