Search a number
-
+
2233132220 = 22511101100501
BaseRepresentation
bin1000010100011010…
…1110010010111100
312202122000212111202
42011012232102330
514033140212340
61005331435032
7106224211364
oct20506562274
95678025452
102233132220
11a465aa320
12523a55a78
13297862217
141728239a4
15d10b3c15
hex851ae4bc

2233132220 has 48 divisors (see below), whose sum is σ = 5166606816. Its totient is φ = 804000000.

The previous prime is 2233132133. The next prime is 2233132277. The reversal of 2233132220 is 222313322.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2233132192 and 2233132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28031 + ... + 72470.

It is an arithmetic number, because the mean of its divisors is an integer number (107637642).

Almost surely, 22233132220 is an apocalyptic number.

2233132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2233132220 is an abundant number, since it is smaller than the sum of its proper divisors (2933474596).

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

2233132220 is a wasteful number, since it uses less digits than its factorization.

2233132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100622 (or 100620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2233132220 is about 47256.0283985017. The cubic root of 2233132220 is about 1307.0879549110.

Adding to 2233132220 its reverse (222313322), we get a palindrome (2455445542).

The spelling of 2233132220 in words is "two billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 100501 201002 402004 502505 1005010 1105511 2010020 2211022 4422044 5527555 10150601 11055110 20301202 22110220 40602404 50753005 101506010 111656611 203012020 223313222 446626444 558283055 1116566110 2233132220