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20044040200 = 23522911293061
BaseRepresentation
bin10010101010101101…
…111100100000001000
31220201220101202001021
4102222231330200020
5312022233241300
613112541202224
71306465346662
oct225255744010
956656352037
1020044040200
11855637a088
123a74860374
131b75857422
14d820ab532
157c4a69d1a
hex4aab7c808

20044040200 has 96 divisors (see below), whose sum is σ = 48267837000. Its totient is φ = 7731763200.

The previous prime is 20044040197. The next prime is 20044040221. The reversal of 20044040200 is 204044002.

It can be written as a sum of positive squares in 12 ways, for example, as 1775273956 + 18268766244 = 42134^2 + 135162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6546670 + ... + 6549730.

Almost surely, 220044040200 is an apocalyptic number.

20044040200 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 20044040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24133918500).

20044040200 is an abundant number, since it is smaller than the sum of its proper divisors (28223796800).

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

20044040200 is a wasteful number, since it uses less digits than its factorization.

20044040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20044040200 its reverse (204044002), we get a palindrome (20248084202).

The spelling of 20044040200 in words is "twenty billion, forty-four million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1129 1160 1450 2258 2900 3061 4516 5645 5800 6122 9032 11290 12244 15305 22580 24488 28225 30610 32741 45160 56450 61220 65482 76525 88769 112900 122440 130964 153050 163705 177538 225800 261928 306100 327410 355076 443845 612200 654820 710152 818525 887690 1309640 1637050 1775380 2219225 3274100 3455869 3550760 4438450 6548200 6911738 8876900 13823476 17279345 17753800 27646952 34558690 69117380 86396725 100220201 138234760 172793450 200440402 345586900 400880804 501101005 691173800 801761608 1002202010 2004404020 2505505025 4008808040 5011010050 10022020100 20044040200