Search a number
-
+
22812500 = 225773
BaseRepresentation
bin101011100000…
…1011101010100
31120220222212102
41113001131110
521320000000
62132541232
7364621514
oct127013524
946828772
1022812500
1111971407
127781818
134959629
14305b844
1520093d5
hex15c1754

22812500 has 48 divisors (see below), whose sum is σ = 50585808. Its totient is φ = 9000000.

The previous prime is 22812479. The next prime is 22812539. The reversal of 22812500 is 521822.

It can be written as a sum of positive squares in 8 ways, for example, as 18267076 + 4545424 = 4274^2 + 2132^2 .

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

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, 312464 + ... + 312536.

It is an arithmetic number, because the mean of its divisors is an integer number (1053871).

Almost surely, 222812500 is an apocalyptic number.

22812500 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 22812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25292904).

22812500 is an abundant number, since it is smaller than the sum of its proper divisors (27773308).

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

22812500 is an frugal number, since it uses more digits than its factorization.

22812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 22812500 is about 4776.2432936357. The cubic root of 22812500 is about 283.6117985096.

The spelling of 22812500 in words is "twenty-two million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 625 730 1250 1460 1825 2500 3125 3650 6250 7300 9125 12500 15625 18250 31250 36500 45625 62500 78125 91250 156250 182500 228125 312500 456250 912500 1140625 2281250 4562500 5703125 11406250 22812500