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22121040 = 2435611511
BaseRepresentation
bin101010001100…
…0101001010000
31112121212100210
41110120221100
521130333130
62110044120
7356011554
oct124305120
945555323
1022121040
1111539957
1274a9640
134776996
142d1b864
151e1e5b0
hex1518a50

22121040 has 80 divisors (see below), whose sum is σ = 69745536. Its totient is φ = 5798400.

The previous prime is 22121003. The next prime is 22121041. The reversal of 22121040 is 4012122.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121041) 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, 13885 + ... + 15395.

Almost surely, 222121040 is an apocalyptic number.

22121040 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 22121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872768).

22121040 is an abundant number, since it is smaller than the sum of its proper divisors (47624496).

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

22121040 is a wasteful number, since it uses less digits than its factorization.

22121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22121040 is about 4703.3009684688. The cubic root of 22121040 is about 280.7168705474.

Adding to 22121040 its reverse (4012122), we get a palindrome (26133162).

The spelling of 22121040 in words is "twenty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1511 1830 2440 2928 3022 3660 4533 4880 6044 7320 7555 9066 12088 14640 15110 18132 22665 24176 30220 36264 45330 60440 72528 90660 92171 120880 181320 184342 276513 362640 368684 460855 553026 737368 921710 1106052 1382565 1474736 1843420 2212104 2765130 3686840 4424208 5530260 7373680 11060520 22121040