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42200025400 = 23521331152189
BaseRepresentation
bin100111010011010100…
…010100100100111000
311000220222210101222201
4213103110110210320
51142411201303100
631215244555544
73022520204011
oct472324244470
9130828711881
1042200025400
11169958a5755
128218852bb4
133c96ac2640
142084854008
15116ec0b36a
hex9d3514938

42200025400 has 96 divisors (see below), whose sum is σ = 106004152800. Its totient is φ = 15531148800.

The previous prime is 42200025397. The next prime is 42200025401. The reversal of 42200025400 is 452000224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200025401) 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, 782506 + ... + 834694.

It is an arithmetic number, because the mean of its divisors is an integer number (1104209925).

Almost surely, 242200025400 is an apocalyptic number.

42200025400 is a gapful number since it is divisible by the number (40) 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 42200025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53002076400).

42200025400 is an abundant number, since it is smaller than the sum of its proper divisors (63804127400).

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

42200025400 is a wasteful number, since it uses less digits than its factorization.

42200025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52529 (or 52520 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 42200025400 its reverse (452000224), we get a palindrome (42652025624).

The spelling of 42200025400 in words is "forty-two billion, two hundred million, twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 311 325 520 622 650 1244 1300 1555 2488 2600 3110 4043 6220 7775 8086 12440 15550 16172 20215 31100 32344 40430 52189 62200 80860 101075 104378 161720 202150 208756 260945 404300 417512 521890 678457 808600 1043780 1304725 1356914 2087560 2609450 2713828 3392285 5218900 5427656 6784570 10437800 13569140 16230779 16961425 27138280 32461558 33922850 64923116 67845700 81153895 129846232 135691400 162307790 211000127 324615580 405769475 422000254 649231160 811538950 844000508 1055000635 1623077900 1688001016 2110001270 3246155800 4220002540 5275003175 8440005080 10550006350 21100012700 42200025400