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2032202200400 = 24525080505501
BaseRepresentation
bin11101100100101000101…
…100001011010101010000
321012021110122222010100222
4131210220230023111100
5231243422230403100
64153325241532212
7266551602456161
oct35445054132520
97167418863328
102032202200400
11713941187649
12289a304a4068
13119835c4b518
1470505589768
1537ce010a485
hex1d928b0b550

2032202200400 has 30 divisors (see below), whose sum is σ = 4882365787422. Its totient is φ = 812880880000.

The previous prime is 2032202200387. The next prime is 2032202200417. The reversal of 2032202200400 is 40022022302.

It can be written as a sum of positive squares in 3 ways, for example, as 243392249104 + 1788809951296 = 493348^2 + 1337464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2540252351 + ... + 2540253150.

Almost surely, 22032202200400 is an apocalyptic number.

2032202200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032202200400 is an abundant number, since it is smaller than the sum of its proper divisors (2850163587022).

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

2032202200400 is a wasteful number, since it uses less digits than its factorization.

2032202200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080505519 (or 5080505508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 2032202200400 its reverse (40022022302), we get a palindrome (2072224222702).

The spelling of 2032202200400 in words is "two trillion, thirty-two billion, two hundred two million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5080505501 10161011002 20322022004 25402527505 40644044008 50805055010 81288088016 101610110020 127012637525 203220220040 254025275050 406440440080 508050550100 1016101100200 2032202200400