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22215440 = 2451341521
BaseRepresentation
bin101010010111…
…1101100010000
31112210122212002
41110233230100
521141343230
62112053132
7356554022
oct124575420
945718762
1022215440
11115a3875
1275341a8
1347aa940
142d44012
151e3c545
hex152fb10

22215440 has 80 divisors (see below), whose sum is σ = 57090096. Its totient is φ = 7987200.

The previous prime is 22215409. The next prime is 22215491. The reversal of 22215440 is 4451222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8317456 + 13897984 = 2884^2 + 3728^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 42380 + ... + 42900.

Almost surely, 222215440 is an apocalyptic number.

22215440 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 22215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545048).

22215440 is an abundant number, since it is smaller than the sum of its proper divisors (34874656).

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

22215440 is a wasteful number, since it uses less digits than its factorization.

22215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 22215440 is about 4713.3257897158. The cubic root of 22215440 is about 281.1156171182.

Adding to 22215440 its reverse (4451222), we get a palindrome (26666662).

The spelling of 22215440 in words is "twenty-two million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 521 533 656 820 1040 1042 1066 1640 2084 2132 2605 2665 3280 4168 4264 5210 5330 6773 8336 8528 10420 10660 13546 20840 21320 21361 27092 33865 41680 42640 42722 54184 67730 85444 106805 108368 135460 170888 213610 270920 277693 341776 427220 541840 555386 854440 1110772 1388465 1708880 2221544 2776930 4443088 5553860 11107720 22215440