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2242033320400 = 24525605083301
BaseRepresentation
bin100000101000000011100…
…110011000000111010000
321221100002011020110011221
4200220003212120013100
5243213141012223100
64433550443014424
7320660450532466
oct40500346300720
97840064213157
102242033320400
117949283a5805
1230263050a414
13133565c78563
147a72d1cc836
153d4c16ce01a
hex20a039981d0

2242033320400 has 30 divisors (see below), whose sum is σ = 5386485053222. Its totient is φ = 896813328000.

The previous prime is 2242033320377. The next prime is 2242033320419. The reversal of 2242033320400 is 40233302422.

It can be written as a sum of positive squares in 3 ways, for example, as 12112323136 + 2229920997264 = 110056^2 + 1493292^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2802541251 + ... + 2802542050.

Almost surely, 22242033320400 is an apocalyptic number.

2242033320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242033320400 is an abundant number, since it is smaller than the sum of its proper divisors (3144451732822).

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

2242033320400 is a wasteful number, since it uses less digits than its factorization.

2242033320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605083319 (or 5605083308 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2242033320400 its reverse (40233302422), we get a palindrome (2282266622822).

The spelling of 2242033320400 in words is "two trillion, two hundred forty-two billion, thirty-three million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5605083301 11210166602 22420333204 28025416505 44840666408 56050833010 89681332816 112101666020 140127082525 224203332040 280254165050 448406664080 560508330100 1121016660200 2242033320400