Search a number
-
+
2220400442220 = 2235170921653993
BaseRepresentation
bin100000010011111010001…
…011011111101101101100
321212021020112011101011120
4200103322023133231230
5242334340003122340
64420012103220540
7316263410232012
oct40237213375554
97767215141146
102220400442220
11786737189194
122ba3b3747750
131314c91c5b1c
147967a0d48b2
153cb5741c4d0
hex204fa2dfb6c

2220400442220 has 48 divisors (see below), whose sum is σ = 6220759396320. Its totient is φ = 591760293376.

The previous prime is 2220400442213. The next prime is 2220400442243. The reversal of 2220400442220 is 222440040222.

It is an unprimeable number.

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, 10724457 + ... + 10929536.

It is an arithmetic number, because the mean of its divisors is an integer number (129599154090).

Almost surely, 22220400442220 is an apocalyptic number.

2220400442220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220400442220 is an abundant number, since it is smaller than the sum of its proper divisors (4000358954100).

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

2220400442220 is a wasteful number, since it uses less digits than its factorization.

2220400442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21655714 (or 21655712 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2220400442220 its reverse (222440040222), we get a palindrome (2442840482442).

The spelling of 2220400442220 in words is "two trillion, two hundred twenty billion, four hundred million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1709 3418 5127 6836 8545 10254 17090 20508 25635 34180 51270 102540 21653993 43307986 64961979 86615972 108269965 129923958 216539930 259847916 324809895 433079860 649619790 1299239580 37006674037 74013348074 111020022111 148026696148 185033370185 222040044222 370066740370 444080088444 555100110555 740133480740 1110200221110 2220400442220