Search a number
-
+
202220444440 = 23575912240947
BaseRepresentation
bin1011110001010101000…
…1110001101100011000
3201022222002102221122101
42330111101301230120
511303121413210230
6232522045533144
720416132262650
oct2742521615430
9638862387571
10202220444440
1178841194a53
12332372741b4
13160b935b321
149b04d61360
1553d837daca
hex2f15471b18

202220444440 has 64 divisors (see below), whose sum is σ = 528808953600. Its totient is φ = 68157587328.

The previous prime is 202220444407. The next prime is 202220444443. The reversal of 202220444440 is 44444022202.

It is a super-2 number, since 2×2022204444402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 202220444399 and 202220444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202220444443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6103954 + ... + 6136993.

It is an arithmetic number, because the mean of its divisors is an integer number (8262639900).

Almost surely, 2202220444440 is an apocalyptic number.

202220444440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220444440 is an abundant number, since it is smaller than the sum of its proper divisors (326588509160).

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

202220444440 is a wasteful number, since it uses less digits than its factorization.

202220444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12241024 (or 12241020 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 202220444440 its reverse (44444022202), we get a palindrome (246664466642).

The spelling of 202220444440 in words is "two hundred two billion, two hundred twenty million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1180 1652 2065 2360 3304 4130 8260 16520 12240947 24481894 48963788 61204735 85686629 97927576 122409470 171373258 244818940 342746516 428433145 489637880 685493032 722215873 856866290 1444431746 1713732580 2888863492 3427465160 3611079365 5055511111 5777726984 7222158730 10111022222 14444317460 20222044444 25277555555 28888634920 40444088888 50555111110 101110222220 202220444440