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2253339000 = 23365311281
BaseRepresentation
bin1000011001001111…
…0011100101111000
312211001001111000000
42012103303211320
514103323322000
61011332513000
7106561031313
oct20623634570
95731044000
102253339000
11a56a50a40
1252a77b760
1329bab87b3
141753a397a
15d2c56000
hex864f3978

2253339000 has 448 divisors, whose sum is σ = 8654986080. Its totient is φ = 544320000.

The previous prime is 2253338981. The next prime is 2253339007. The reversal of 2253339000 is 9333522.

2253339000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253339007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8018860 + ... + 8019140.

Almost surely, 22253339000 is an apocalyptic number.

2253339000 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 2253339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327493040).

2253339000 is an abundant number, since it is smaller than the sum of its proper divisors (6401647080).

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

2253339000 is a wasteful number, since it uses less digits than its factorization.

2253339000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 2253339000 is about 47469.3480047915. The cubic root of 2253339000 is about 1311.0185734321.

The spelling of 2253339000 in words is "two billion, two hundred fifty-three million, three hundred thirty-nine thousand".