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22225440 = 2535192437
BaseRepresentation
bin101010011001…
…0001000100000
31112211011120110
41110302020200
521142203230
62112211320
7356625126
oct124621040
945734513
1022225440
1111600336
127539b40
1347b2363
142d47916
151e404b0
hex1532220

22225440 has 96 divisors (see below), whose sum is σ = 73725120. Its totient is φ = 5612544.

The previous prime is 22225439. The next prime is 22225447. The reversal of 22225440 is 4452222.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22225447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7902 + ... + 10338.

It is an arithmetic number, because the mean of its divisors is an integer number (767970).

Almost surely, 222225440 is an apocalyptic number.

22225440 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 22225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36862560).

22225440 is an abundant number, since it is smaller than the sum of its proper divisors (51499680).

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

22225440 is a wasteful number, since it uses less digits than its factorization.

22225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 22225440 is about 4714.3864924293. The cubic root of 22225440 is about 281.1577910068.

Adding to 22225440 its reverse (4452222), we get a palindrome (26677662).

The spelling of 22225440 in words is "twenty-two million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 2437 3040 4560 4874 7311 9120 9748 12185 14622 19496 24370 29244 36555 38992 46303 48740 58488 73110 77984 92606 97480 116976 138909 146220 185212 194960 231515 233952 277818 292440 370424 389920 463030 555636 584880 694545 740848 926060 1111272 1169760 1389090 1481696 1852120 2222544 2778180 3704240 4445088 5556360 7408480 11112720 22225440