Search a number
-
+
22273840 = 245509547
BaseRepresentation
bin101010011110…
…1111100110000
31112220121222001
41110331330300
521200230330
62113223344
7360216211
oct124757460
945817861
1022273840
1111633736
127561b54
1347cb3b4
142d5b408
151e4e9ca
hex153df30

22273840 has 40 divisors (see below), whose sum is σ = 51983280. Its totient is φ = 8875776.

The previous prime is 22273837. The next prime is 22273877. The reversal of 22273840 is 4837222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×222738402 = 992247896691200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22273799 and 22273808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40447 + ... + 40993.

It is an arithmetic number, because the mean of its divisors is an integer number (1299582).

Almost surely, 222273840 is an apocalyptic number.

22273840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22273840 is an abundant number, since it is smaller than the sum of its proper divisors (29709440).

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

22273840 is a wasteful number, since it uses less digits than its factorization.

22273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 22273840 is about 4719.5169244320. The cubic root of 22273840 is about 281.3617340410.

It can be divided in two parts, 222738 and 40, that added together give a triangular number (222778 = T667).

The spelling of 22273840 in words is "twenty-two million, two hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 509 547 1018 1094 2036 2188 2545 2735 4072 4376 5090 5470 8144 8752 10180 10940 20360 21880 40720 43760 278423 556846 1113692 1392115 2227384 2784230 4454768 5568460 11136920 22273840