Search a number
-
+
2211434321220 = 223354095248743
BaseRepresentation
bin100000001011100011110…
…000011101010101000100
321211102002122211020102000
4200023203300131111010
5242213004141234340
64411530252145300
7315525255403365
oct40134360352504
97742078736360
102211434321220
11782956027833
122b8710a68230
131306ca778297
14790693bbb6c
153c7d01d3d30
hex202e3c1d544

2211434321220 has 48 divisors (see below), whose sum is σ = 6880017889920. Its totient is φ = 589715818848.

The previous prime is 2211434321191. The next prime is 2211434321293. The reversal of 2211434321220 is 221234341122.

2211434321220 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 3 + 432 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047623832 + ... + 2047624911.

It is an arithmetic number, because the mean of its divisors is an integer number (143333706040).

Almost surely, 22211434321220 is an apocalyptic number.

2211434321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211434321220 is an abundant number, since it is smaller than the sum of its proper divisors (4668583568700).

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

2211434321220 is a wasteful number, since it uses less digits than its factorization.

2211434321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095248761 (or 4095248753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2211434321220 its reverse (221234341122), we get a palindrome (2432668662342).

The spelling of 2211434321220 in words is "two trillion, two hundred eleven billion, four hundred thirty-four million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4095248743 8190497486 12285746229 16380994972 20476243715 24571492458 36857238687 40952487430 49142984916 61428731145 73714477374 81904974860 110571716061 122857462290 147428954748 184286193435 221143432122 245714924580 368572386870 442286864244 552858580305 737144773740 1105717160610 2211434321220