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20144402200 = 23521327312837
BaseRepresentation
bin10010110000101100…
…110010111100011000
31220222220020122211101
4102300230302330120
5312223431332300
613130524241144
71312124410366
oct226054627430
956886218741
1020144402200
1185a7a9858a
123aa23a01b4
131b90596920
14d91554636
157cd791b6a
hex4b0b32f18

20144402200 has 96 divisors (see below), whose sum is σ = 50474738160. Its totient is φ = 7432588800.

The previous prime is 20144402197. The next prime is 20144402209. The reversal of 20144402200 is 220444102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144402209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7099182 + ... + 7102018.

Almost surely, 220144402200 is an apocalyptic number.

20144402200 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 20144402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25237369080).

20144402200 is an abundant number, since it is smaller than the sum of its proper divisors (30330335960).

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

20144402200 is a wasteful number, since it uses less digits than its factorization.

20144402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20144402200 its reverse (220444102), we get a palindrome (20364846302).

The spelling of 20144402200 in words is "twenty billion, one hundred forty-four million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 2731 2837 5462 5674 10924 11348 13655 14185 21848 22696 27310 28370 35503 36881 54620 56740 68275 70925 71006 73762 109240 113480 136550 141850 142012 147524 177515 184405 273100 283700 284024 295048 355030 368810 546200 567400 710060 737620 887575 922025 1420120 1475240 1775150 1844050 3550300 3688100 7100600 7376200 7747847 15495694 30991388 38739235 61982776 77478470 100722011 154956940 193696175 201444022 309913880 387392350 402888044 503610055 774784700 805776088 1007220110 1549569400 2014440220 2518050275 4028880440 5036100550 10072201100 20144402200