Search a number
-
+
22855420 = 2257592767
BaseRepresentation
bin101011100101…
…1111011111100
31121000011202001
41113023323330
521322333140
62133512044
7365160610
oct127137374
947004661
1022855420
11119a0685
1277a2624
134973023
14306d340
152016e9a
hex15cbefc

22855420 has 48 divisors (see below), whose sum is σ = 55802880. Its totient is φ = 7700544.

The previous prime is 22855387. The next prime is 22855457. The reversal of 22855420 is 2455822.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6877 + ... + 9643.

It is an arithmetic number, because the mean of its divisors is an integer number (1162560).

Almost surely, 222855420 is an apocalyptic number.

22855420 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 22855420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27901440).

22855420 is an abundant number, since it is smaller than the sum of its proper divisors (32947460).

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

22855420 is a wasteful number, since it uses less digits than its factorization.

22855420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 22855420 is about 4780.7342532293. The cubic root of 22855420 is about 283.7895518233.

The spelling of 22855420 in words is "twenty-two million, eight hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 2767 4130 5534 8260 11068 13835 19369 27670 38738 55340 77476 96845 163253 193690 326506 387380 653012 816265 1142771 1632530 2285542 3265060 4571084 5713855 11427710 22855420