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2223229680 = 243457232131
BaseRepresentation
bin1000010010000011…
…1100101011110000
312201221101202210000
42010200330223300
514023121322210
61004335310000
7106044066120
oct20440745360
95657352700
102223229680
11a40a56401
1252067b300
132957a5b29
141713a6c80
15d02a9ac0
hex8483caf0

2223229680 has 400 divisors, whose sum is σ = 9212696064. Its totient is φ = 485844480.

The previous prime is 2223229669. The next prime is 2223229699. The reversal of 2223229680 is 869223222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1042215 + ... + 1044345.

Almost surely, 22223229680 is an apocalyptic number.

2223229680 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 2223229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606348032).

2223229680 is an abundant number, since it is smaller than the sum of its proper divisors (6989466384).

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

2223229680 is a wasteful number, since it uses less digits than its factorization.

2223229680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2223229680 is about 47151.1365716671. The cubic root of 2223229680 is about 1305.1530537887.

The spelling of 2223229680 in words is "two billion, two hundred twenty-three million, two hundred twenty-nine thousand, six hundred eighty".