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22040820 = 22325122449
BaseRepresentation
bin101010000010…
…1000011110100
31112110210022200
41110011003310
521120301240
62104224500
7355225644
oct124050364
945423280
1022040820
111149465a
12746b130
134749309
142cda524
151e05930
hex15050f4

22040820 has 36 divisors (see below), whose sum is σ = 66857700. Its totient is φ = 5877504.

The previous prime is 22040803. The next prime is 22040833. The reversal of 22040820 is 2804022.

It can be written as a sum of positive squares in 2 ways, for example, as 3481956 + 18558864 = 1866^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22040793 and 22040802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61045 + ... + 61404.

Almost surely, 222040820 is an apocalyptic number.

22040820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22040820 is an abundant number, since it is smaller than the sum of its proper divisors (44816880).

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

22040820 is a wasteful number, since it uses less digits than its factorization.

22040820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122464 (or 122459 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22040820 is about 4694.7651698461. The cubic root of 22040820 is about 280.3771278784.

Adding to 22040820 its reverse (2804022), we get a palindrome (24844842).

The spelling of 22040820 in words is "twenty-two million, forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122449 244898 367347 489796 612245 734694 1102041 1224490 1469388 1836735 2204082 2448980 3673470 4408164 5510205 7346940 11020410 22040820