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2042220114 = 23511735233
BaseRepresentation
bin111100110111001…
…1100111001010010
312021022210112100000
41321232130321102
513140302020424
6534351510430
7101415404334
oct17156347122
95238715300
102042220114
11958864220
1248bb28416
1326713a58c
14155329454
15be4523c9
hex79b9ce52

2042220114 has 96 divisors (see below), whose sum is σ = 5075388864. Its totient is φ = 610260480.

The previous prime is 2042220079. The next prime is 2042220157. The reversal of 2042220114 is 4110222402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387642 + ... + 392874.

It is an arithmetic number, because the mean of its divisors is an integer number (52868634).

Almost surely, 22042220114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042220114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537694432).

2042220114 is an abundant number, since it is smaller than the sum of its proper divisors (3033168750).

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

2042220114 is a wasteful number, since it uses less digits than its factorization.

2042220114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042220114 is about 45190.9295545024. The cubic root of 2042220114 is about 1268.7250548648.

Adding to 2042220114 its reverse (4110222402), we get a palindrome (6152442516).

The spelling of 2042220114 in words is "two billion, forty-two million, two hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 81 99 146 162 198 219 243 297 438 486 594 657 803 891 1314 1606 1782 1971 2409 2673 3942 4818 5233 5346 5913 7227 10466 11826 14454 15699 17739 21681 31398 35478 43362 47097 57563 65043 94194 115126 130086 141291 172689 195129 282582 345378 382009 390258 423873 518067 764018 847746 1036134 1146027 1271619 1554201 2292054 2543238 3108402 3438081 4202099 4662603 6876162 8404198 9325206 10314243 12606297 13987809 20628486 25212594 27975618 30942729 37818891 61885458 75637782 92828187 113456673 185656374 226913346 340370019 680740038 1021110057 2042220114