Search a number
-
+
2231222311032 = 2331113650123051
BaseRepresentation
bin100000011101111111001…
…101101001100001111000
321220022011201102021100120
4200131333031221201320
5243024020402423112
64425002005333240
7320125524501651
oct40357715514170
97808151367316
102231222311032
1179028a910420
12300513a07220
131325322520b0
1479dc5476528
153d08c521e8c
hex2077f369878

2231222311032 has 64 divisors (see below), whose sum is σ = 6553240364160. Its totient is φ = 624118128000.

The previous prime is 2231222311027. The next prime is 2231222311039. The reversal of 2231222311032 is 2301132221322.

It is a super-3 number, since 3×22312223110323 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2231222310993 and 2231222311011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231222311039) 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, 325058094 + ... + 325064957.

It is an arithmetic number, because the mean of its divisors is an integer number (102394380690).

Almost surely, 22231222311032 is an apocalyptic number.

2231222311032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2231222311032 is an abundant number, since it is smaller than the sum of its proper divisors (4322018053128).

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

2231222311032 is a wasteful number, since it uses less digits than its factorization.

2231222311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650123084 (or 650123080 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2231222311032 its reverse (2301132221322), we get a palindrome (4532354532354).

The spelling of 2231222311032 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-two million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 650123051 1300246102 1950369153 2600492204 3900738306 5200984408 7151353561 7801476612 8451599663 14302707122 15602953224 16903199326 21454060683 25354798989 28605414244 33806398652 42908121366 50709597978 57210828488 67612797304 85816242732 92967596293 101419195956 171632485464 185935192586 202838391912 278902788879 371870385172 557805577758 743740770344 1115611155516 2231222311032