Search a number
-
+
2219446000000 = 27561109723
BaseRepresentation
bin100000010011000001010…
…010100101100110000000
321212011210000012200120201
4200103001102211212000
5242330411134000000
64415333250214544
7316230640504435
oct40230122454600
97764700180521
102219446000000
11786297451669
122ba187b84454
131313a654a108
14795c9445b8c
153caed73996a
hex204c14a5980

2219446000000 has 112 divisors (see below), whose sum is σ = 5526874958220. Its totient is φ = 887777600000.

The previous prime is 2219445999989. The next prime is 2219446000033. The reversal of 2219446000000 is 6449122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1445139 + ... + 2554861.

Almost surely, 22219446000000 is an apocalyptic number.

2219446000000 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 2219446000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763437479110).

2219446000000 is an abundant number, since it is smaller than the sum of its proper divisors (3307428958220).

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

2219446000000 is an frugal number, since it uses more digits than its factorization.

2219446000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109767 (or 1109730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 2219446000000 in words is "two trillion, two hundred nineteen billion, four hundred forty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 1109723 2000000 2219446 4438892 5548615 8877784 11097230 17755568 22194460 27743075 35511136 44388920 55486150 71022272 88777840 110972300 138715375 142044544 177555680 221944600 277430750 355111360 443889200 554861500 693576875 710222720 887778400 1109723000 1387153750 1775556800 2219446000 2774307500 3467884375 3551113600 4438892000 5548615000 6935768750 8877784000 11097230000 13871537500 17339421875 17755568000 22194460000 27743075000 34678843750 44388920000 55486150000 69357687500 88777840000 110972300000 138715375000 221944600000 277430750000 443889200000 554861500000 1109723000000 2219446000000