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225452112240 = 2435939383801
BaseRepresentation
bin1101000111110111111…
…1100011100101110000
3210112221010220221201010
43101331333203211300
512143211220042430
6251323221110520
722200625222605
oct3217577434560
9715833827633
10225452112240
1187682926903
123783b558440
131834c411914
14acaa5166ac
155ce7ba0cb0
hex347dfe3970

225452112240 has 40 divisors (see below), whose sum is σ = 698901548688. Its totient is φ = 60120563200.

The previous prime is 225452112239. The next prime is 225452112299. The reversal of 225452112240 is 42211254522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225452112198 and 225452112207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469691661 + ... + 469692140.

Almost surely, 2225452112240 is an apocalyptic number.

225452112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225452112240 is an abundant number, since it is smaller than the sum of its proper divisors (473449436448).

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

225452112240 is a wasteful number, since it uses less digits than its factorization.

225452112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939383817 (or 939383811 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 225452112240 its reverse (42211254522), we get a palindrome (267663366762).

The spelling of 225452112240 in words is "two hundred twenty-five billion, four hundred fifty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 939383801 1878767602 2818151403 3757535204 4696919005 5636302806 7515070408 9393838010 11272605612 14090757015 15030140816 18787676020 22545211224 28181514030 37575352040 45090422448 56363028060 75150704080 112726056120 225452112240