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2200022431000 = 235313731602347
BaseRepresentation
bin100000000000111011100…
…011100011010100011000
321210022122100100011000021
4200000323203203110120
5242021121220243000
64402402031520224
7314642415054412
oct40007343432430
97708570304007
102200022431000
1177902a3427a9
122b6467089074
1312c5cc408314
14786a592d9b2
153c3633d311a
hex2003b8e3518

2200022431000 has 64 divisors (see below), whose sum is σ = 5151805195680. Its totient is φ = 879367484800.

The previous prime is 2200022430919. The next prime is 2200022431039. The reversal of 2200022431000 is 1342200022.

It is a super-2 number, since 2×22000224310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571827 + ... + 2174173.

Almost surely, 22200022431000 is an apocalyptic number.

2200022431000 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 2200022431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575902597840).

2200022431000 is an abundant number, since it is smaller than the sum of its proper divisors (2951782764680).

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

2200022431000 is a wasteful number, since it uses less digits than its factorization.

2200022431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603741 (or 1603727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2200022431000 its reverse (1342200022), we get a palindrome (2201364631022).

The spelling of 2200022431000 in words is "two trillion, two hundred billion, twenty-two million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1373 2746 5492 6865 10984 13730 27460 34325 54920 68650 137300 171625 274600 343250 686500 1373000 1602347 3204694 6409388 8011735 12818776 16023470 32046940 40058675 64093880 80117350 160234700 200293375 320469400 400586750 801173500 1602347000 2200022431 4400044862 8800089724 11000112155 17600179448 22000224310 44000448620 55000560775 88000897240 110001121550 220002243100 275002803875 440004486200 550005607750 1100011215500 2200022431000