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23440404200 = 2352294499001
BaseRepresentation
bin10101110101001010…
…000010111011101000
32020111121020220120112
4111311022002323220
5341001220413300
614433545113452
71456606101563
oct256512027350
966447226515
1023440404200
119a39551684
124662188888
1322973a9275
1411c51ad4da
15922d04e35
hex575282ee8

23440404200 has 96 divisors (see below), whose sum is σ = 56510055000. Its totient is φ = 9031680000.

The previous prime is 23440404199. The next prime is 23440404307. The reversal of 23440404200 is 240404432.

It can be written as a sum of positive squares in 12 ways, for example, as 483912004 + 22956492196 = 21998^2 + 151514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2599700 + ... + 2608700.

Almost surely, 223440404200 is an apocalyptic number.

23440404200 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 23440404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255027500).

23440404200 is an abundant number, since it is smaller than the sum of its proper divisors (33069650800).

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

23440404200 is a wasteful number, since it uses less digits than its factorization.

23440404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 23440404200 its reverse (240404432), we get a palindrome (23680808632).

The spelling of 23440404200 in words is "twenty-three billion, four hundred forty million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 449 580 725 898 1160 1450 1796 2245 2900 3592 4490 5800 8980 9001 11225 13021 17960 18002 22450 26042 36004 44900 45005 52084 65105 72008 89800 90010 104168 130210 180020 225025 260420 261029 325525 360040 450050 520840 522058 651050 900100 1044116 1302100 1305145 1800200 2088232 2604200 2610290 4041449 5220580 6525725 8082898 10441160 13051450 16165796 20207245 26102900 32331592 40414490 52205800 80828980 101036225 117202021 161657960 202072450 234404042 404144900 468808084 586010105 808289800 937616168 1172020210 2344040420 2930050525 4688080840 5860101050 11720202100 23440404200