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22324240 = 245192773
BaseRepresentation
bin101010100101…
…0010000010000
31120000012002201
41111022100100
521203333430
62114252544
7360516151
oct125122020
946005081
1022324240
1111668594
127587154
134818313
142d71928
151e5e8ca
hex154a410

22324240 has 60 divisors (see below), whose sum is σ = 54850284. Its totient is φ = 8448768.

The previous prime is 22324219. The next prime is 22324241. The reversal of 22324240 is 4242322.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 18113536 = 2052^2 + 4256^2 .

It is a super-3 number, since 3×223242403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22324241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28494 + ... + 29266.

Almost surely, 222324240 is an apocalyptic number.

22324240 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 22324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27425142).

22324240 is an abundant number, since it is smaller than the sum of its proper divisors (32526044).

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

22324240 is a wasteful number, since it uses less digits than its factorization.

22324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 22324240 is about 4724.8534368803. The cubic root of 22324240 is about 281.5737907124.

Adding to 22324240 its reverse (4242322), we get a palindrome (26566562).

The spelling of 22324240 in words is "twenty-two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 773 1444 1520 1546 1805 2888 3092 3610 3865 5776 6184 7220 7730 12368 14440 14687 15460 28880 29374 30920 58748 61840 73435 117496 146870 234992 279053 293740 558106 587480 1116212 1174960 1395265 2232424 2790530 4464848 5581060 11162120 22324240