Search a number
-
+
2238170901120 = 27375711191093
BaseRepresentation
bin100000100100011101011…
…000011010101010000000
321220222002222102020000000
4200210131120122222000
5243132233222313440
64432111310000000
7320462650522050
oct40443530325200
97828088366000
102238170901120
11793226140a60
12301932aa6000
1313309b9c7c6b
147a48424d560
153d347583730
hex2091d61aa80

2238170901120 has 2048 divisors, whose sum is σ = 10541048832000. Its totient is φ = 440193761280.

The previous prime is 2238170901103. The next prime is 2238170901133. The reversal of 2238170901120 is 211090718322.

2238170901120 is a `hidden beast` number, since 2 + 2 + 381 + 70 + 90 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2047731294 + ... + 2047732386.

It is an arithmetic number, because the mean of its divisors is an integer number (5146996500).

Almost surely, 22238170901120 is an apocalyptic number.

2238170901120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238170901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270524416000).

2238170901120 is an abundant number, since it is smaller than the sum of its proper divisors (8302877930880).

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

2238170901120 is a wasteful number, since it uses less digits than its factorization.

2238170901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 2238170901120 in words is "two trillion, two hundred thirty-eight billion, one hundred seventy million, nine hundred one thousand, one hundred twenty".