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2253020000 = 25547211219
BaseRepresentation
bin1000011001001010…
…0101101101100000
312211000110021102012
42012102211231200
514103233120000
61011322012052
7106555232300
oct20622455540
95730407365
102253020000
11a56853300
1252a647028
1329ba0653a
1417531d600
15d2be1735
hex864a5b60

2253020000 has 540 divisors, whose sum is σ = 7460158860. Its totient is φ = 665280000.

The previous prime is 2253019999. The next prime is 2253020009. The reversal of 2253020000 is 203522.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 118579991 + ... + 118580009.

It is an arithmetic number, because the mean of its divisors is an integer number (13815109).

Almost surely, 22253020000 is an apocalyptic number.

2253020000 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 2253020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730079430).

2253020000 is an abundant number, since it is smaller than the sum of its proper divisors (5207138860).

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

2253020000 is a wasteful number, since it uses less digits than its factorization.

2253020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2253020000 is about 47465.9878228611. The cubic root of 2253020000 is about 1310.9567045549.

Adding to 2253020000 its reverse (203522), we get a palindrome (2253223522).

The spelling of 2253020000 in words is "two billion, two hundred fifty-three million, twenty thousand".