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2233875000 = 2335672337
BaseRepresentation
bin1000010100100110…
…0011101000111000
312202200102121102010
42011021203220320
514033333000000
61005355405520
7106233424050
oct20511435070
95680377363
102233875000
11a46a67395
125241538a0
13297a62336
14172978560
15d11add50
hex85263a38

2233875000 has 448 divisors, whose sum is σ = 8549890560. Its totient is φ = 475200000.

The previous prime is 2233874989. The next prime is 2233875001. The reversal of 2233875000 is 5783322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233875001) 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 111 ways as a sum of consecutive naturals, for example, 60374982 + ... + 60375018.

Almost surely, 22233875000 is an apocalyptic number.

2233875000 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 2233875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274945280).

2233875000 is an abundant number, since it is smaller than the sum of its proper divisors (6316015560).

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

2233875000 is an equidigital number, since it uses as much as digits as its factorization.

2233875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2233875000 is about 47263.8868482058. The cubic root of 2233875000 is about 1307.2328591787.

The spelling of 2233875000 in words is "two billion, two hundred thirty-three million, eight hundred seventy-five thousand".