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2229525000 = 233555367
BaseRepresentation
bin1000010011100011…
…1101101000001000
312202101020121100000
42010320331220020
514031224300000
61005122243000
7106151435613
oct20470755010
95671217300
102229525000
11a4456614a
125227b6460
13296b9b381
1417216517a
15d0b00000
hex84e3da08

2229525000 has 288 divisors, whose sum is σ = 7848247680. Its totient is φ = 592920000.

The previous prime is 2229524989. The next prime is 2229525007. The reversal of 2229525000 is 5259222.

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 (2229525007) 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 71 ways as a sum of consecutive naturals, for example, 6074817 + ... + 6075183.

It is an arithmetic number, because the mean of its divisors is an integer number (27250860).

Almost surely, 22229525000 is an apocalyptic number.

2229525000 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 2229525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924123840).

2229525000 is an abundant number, since it is smaller than the sum of its proper divisors (5618722680).

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

2229525000 is an frugal number, since it uses more digits than its factorization.

2229525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2229525000 is about 47217.8462024688. The cubic root of 2229525000 is about 1306.3837877971.

The spelling of 2229525000 in words is "two billion, two hundred twenty-nine million, five hundred twenty-five thousand".