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2235224000 = 2653319013
BaseRepresentation
bin1000010100111010…
…1100111111000000
312202202222010220002
42011032230333000
514034204132000
61005444335132
7106251043022
oct20516547700
95682863802
102235224000
11a477a8969
125246a44a8
13298115369
14172c0a012
15d13788d5
hex853acfc0

2235224000 has 112 divisors (see below), whose sum is σ = 5714731776. Its totient is φ = 865152000.

The previous prime is 2235223999. The next prime is 2235224009. The reversal of 2235224000 is 4225322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235224009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243494 + ... + 252506.

Almost surely, 22235224000 is an apocalyptic number.

2235224000 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 2235224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857365888).

2235224000 is an abundant number, since it is smaller than the sum of its proper divisors (3479507776).

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

2235224000 is an equidigital number, since it uses as much as digits as its factorization.

2235224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2235224000 is about 47278.1556323848. The cubic root of 2235224000 is about 1307.4959449634.

Adding to 2235224000 its reverse (4225322), we get a palindrome (2239449322).

The spelling of 2235224000 in words is "two billion, two hundred thirty-five million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3875 4000 4960 6200 7750 8000 9013 9920 12400 15500 18026 24800 31000 36052 45065 49600 62000 72104 90130 124000 144208 180260 225325 248000 279403 288416 360520 450650 558806 576832 721040 901300 1117612 1126625 1397015 1442080 1802600 2235224 2253250 2794030 2884160 3605200 4470448 4506500 5588060 6985075 7210400 8940896 9013000 11176120 13970150 14420800 17881792 18026000 22352240 27940300 34925375 36052000 44704480 55880600 69850750 72104000 89408960 111761200 139701500 223522400 279403000 447044800 558806000 1117612000 2235224000