Search a number
-
+
22398240 = 253546663
BaseRepresentation
bin101010101110…
…0010100100000
31120010221121110
41111130110200
521213220430
62120023320
7361244664
oct125342440
946127543
1022398240
1111709147
127601b40
134842bc7
142d908a4
151e767b0
hex155c520

22398240 has 48 divisors (see below), whose sum is σ = 70555968. Its totient is φ = 5972736.

The previous prime is 22398239. The next prime is 22398247. The reversal of 22398240 is 4289322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22398198 and 22398207.

It is not an unprimeable number, because it can be changed into a prime (22398247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22852 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (1469916).

Almost surely, 222398240 is an apocalyptic number.

22398240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22398240 is an abundant number, since it is smaller than the sum of its proper divisors (48157728).

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

22398240 is a wasteful number, since it uses less digits than its factorization.

22398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46681 (or 46673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 22398240 is about 4732.6778888912. The cubic root of 22398240 is about 281.8845662048.

The spelling of 22398240 in words is "twenty-two million, three hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 46663 93326 139989 186652 233315 279978 373304 466630 559956 699945 746608 933260 1119912 1399890 1493216 1866520 2239824 2799780 3733040 4479648 5599560 7466080 11199120 22398240