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2533212000 = 253253116397
BaseRepresentation
bin1001011011111101…
…1011111101100000
320112112200111120200
42112333123331200
520142000241000
61055211305200
7116526642504
oct22677337540
96475614520
102533212000
11108aa28740
125a844b200
13314a8a417
141a0618304
15ec5db500
hex96fdbf60

2533212000 has 288 divisors, whose sum is σ = 9809208864. Its totient is φ = 614016000.

The previous prime is 2533211983. The next prime is 2533212013. The reversal of 2533212000 is 2123352.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392802 + ... + 399198.

It is an arithmetic number, because the mean of its divisors is an integer number (34059753).

Almost surely, 22533212000 is an apocalyptic number.

2533212000 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 2533212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904604432).

2533212000 is an abundant number, since it is smaller than the sum of its proper divisors (7275996864).

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

2533212000 is a wasteful number, since it uses less digits than its factorization.

2533212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2533212000 is about 50331.0242295942. The cubic root of 2533212000 is about 1363.1924712769.

Adding to 2533212000 its reverse (2123352), we get a palindrome (2535335352).

The spelling of 2533212000 in words is "two billion, five hundred thirty-three million, two hundred twelve thousand".