Search a number
-
+
2212444220340 = 2235149269247031
BaseRepresentation
bin100000001100011111111…
…100111010101110110100
321211111201001010102120010
4200030133330322232310
5242222041210022330
64412214405540220
7315562300403604
oct40143774725664
97744631112503
102212444220340
117833240a1a02
122b8953114670
1313082ba70123
1479123584c04
153c83dbbd3b0
hex2031ff3abb4

2212444220340 has 48 divisors (see below), whose sum is σ = 6194910395520. Its totient is φ = 589978784640.

The previous prime is 2212444220321. The next prime is 2212444220341. The reversal of 2212444220340 is 430224442122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2212444220298 and 2212444220307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212444220341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8832625 + ... + 9079655.

It is an arithmetic number, because the mean of its divisors is an integer number (129060633240).

Almost surely, 22212444220340 is an apocalyptic number.

2212444220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212444220340 is an abundant number, since it is smaller than the sum of its proper divisors (3982466175180).

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

2212444220340 is a wasteful number, since it uses less digits than its factorization.

2212444220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396312 (or 396310 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2212444220340 its reverse (430224442122), we get a palindrome (2642668662462).

The spelling of 2212444220340 in words is "two trillion, two hundred twelve billion, four hundred forty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149269 247031 298538 447807 494062 597076 741093 746345 895614 988124 1235155 1482186 1492690 1791228 2239035 2470310 2964372 2985380 3705465 4478070 4940620 7410930 8956140 14821860 36874070339 73748140678 110622211017 147496281356 184370351695 221244422034 368740703390 442488844068 553111055085 737481406780 1106222110170 2212444220340