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2228301504 = 2632111322081
BaseRepresentation
bin1000010011010001…
…0010111011000000
312202021221110000100
42010310102323000
514030421122004
61005040122400
7106135151562
oct20464227300
95667843010
102228301504
11a438aa9a0
12522306400
13296860500
14171d27332
15d095c739
hex84d12ec0

2228301504 has 252 divisors, whose sum is σ = 7548490872. Its totient is φ = 623001600.

The previous prime is 2228301499. The next prime is 2228301511. The reversal of 2228301504 is 4051038222.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1069744 + ... + 1071824.

Almost surely, 22228301504 is an apocalyptic number.

2228301504 is a gapful number since it is divisible by the number (24) 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 2228301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774245436).

2228301504 is an abundant number, since it is smaller than the sum of its proper divisors (5320189368).

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

2228301504 is a wasteful number, since it uses less digits than its factorization.

2228301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2228301504 is about 47204.8885604023. Note that the first 3 decimals coincide. The cubic root of 2228301504 is about 1306.1447760787.

Adding to 2228301504 its reverse (4051038222), we get a palindrome (6279339726).

It can be divided in two parts, 22 and 28301504, that added together give a triangular number (28301526 = T7523).

The spelling of 2228301504 in words is "two billion, two hundred twenty-eight million, three hundred one thousand, five hundred four".