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2203233241140 = 22325167376719457
BaseRepresentation
bin100000000011111010111…
…011110100100000110100
321210121221010001012111100
4200003322323310200310
5242044210202204030
64404052410410100
7315115113360051
oct40037273644064
97717833035440
102203233241140
1177a4277a99a8
122b7002430930
1312c9c1690389
14788cc130028
153c4a0219360
hex200faef4834

2203233241140 has 144 divisors (see below), whose sum is σ = 6725290021632. Its totient is φ = 583825686528.

The previous prime is 2203233241133. The next prime is 2203233241159. The reversal of 2203233241140 is 411423323022.

2203233241140 is a `hidden beast` number, since 2 + 2 + 0 + 323 + 324 + 1 + 14 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113226292 + ... + 113245748.

It is an arithmetic number, because the mean of its divisors is an integer number (46703402928).

Almost surely, 22203233241140 is an apocalyptic number.

2203233241140 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 2203233241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362645010816).

2203233241140 is an abundant number, since it is smaller than the sum of its proper divisors (4522056780492).

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

2203233241140 is a wasteful number, since it uses less digits than its factorization.

2203233241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23406 (or 23401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2203233241140 its reverse (411423323022), we get a palindrome (2614656564162).

The spelling of 2203233241140 in words is "two trillion, two hundred three billion, two hundred thirty-three million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 3767 5010 6012 7515 7534 10020 11301 15030 15068 18835 19457 22602 30060 33903 37670 38914 45204 56505 58371 67806 75340 77828 97285 113010 116742 135612 169515 175113 194570 226020 233484 291855 339030 350226 389140 583710 629089 678060 700452 875565 1167420 1258178 1751130 1887267 2516356 3145445 3249319 3502260 3774534 5661801 6290890 6498638 7549068 9436335 9747957 11323602 12581780 12997276 16246595 18872670 19495914 22647204 28309005 29243871 32493190 37745340 38991828 48739785 56618010 58487742 64986380 73294519 97479570 113236020 116975484 146219355 146589038 194959140 219883557 292438710 293178076 366472595 439767114 584877420 659650671 732945190 879534228 1099417785 1319301342 1465890380 2198835570 2638602684 3298253355 4397671140 6596506710 12240184673 13193013420 24480369346 36720554019 48960738692 61200923365 73441108038 110161662057 122401846730 146882216076 183602770095 220323324114 244803693460 367205540190 440646648228 550808310285 734411080380 1101616620570 2203233241140