Search a number
-
+
222212100011020 = 225731393231302061
BaseRepresentation
bin110010100001100111001001…
…010010010011010000001100
31002010210021021022112100100221
4302201213021102103100030
5213111210340100323040
62104334455100001124
764543202663234530
oct6241471122232014
91063707238470327
10222212100011020
1164892693442779
1220b0a23a8301a4
1396cb684c06482
143cc31a1825bc0
151aa53a77a074a
hexca19c949340c

222212100011020 has 96 divisors (see below), whose sum is σ = 550526980018176. Its totient is φ = 73727428780800.

The previous prime is 222212100010987. The next prime is 222212100011023. The reversal of 222212100011020 is 20110001212222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222212100010985 and 222212100011003.

It is not an unprimeable number, because it can be changed into a prime (222212100011023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 170010790 + ... + 171312850.

It is an arithmetic number, because the mean of its divisors is an integer number (5734656041856).

Almost surely, 2222212100011020 is an apocalyptic number.

222212100011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222212100011020 is an abundant number, since it is smaller than the sum of its proper divisors (328314880007156).

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

222212100011020 is a wasteful number, since it uses less digits than its factorization.

222212100011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341431 (or 1341429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222212100011020 its reverse (20110001212222), we get a palindrome (242322101223242).

The spelling of 222212100011020 in words is "two hundred twenty-two trillion, two hundred twelve billion, one hundred million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 39323 78646 157292 196615 275261 393230 550522 786460 1101044 1219013 1302061 1376305 2438026 2604122 2752610 4876052 5208244 5505220 6095065 6510305 8533091 9114427 12190130 13020610 17066182 18228854 24380260 26041220 34132364 36457708 40363891 42665455 45572135 80727782 85330910 91144270 161455564 170661820 182288540 201819455 282547237 403638910 565094474 807277820 1130188948 1412736185 2825472370 5650944740 51200944703 102401889406 204803778812 256004723515 358406612921 512009447030 716813225842 1024018894060 1433626451684 1587229285793 1792033064605 3174458571586 3584066129210 6348917143172 7168132258420 7936146428965 11110605000551 15872292857930 22221210001102 31744585715860 44442420002204 55553025002755 111106050005510 222212100011020