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22125440 = 275181191
BaseRepresentation
bin101010001100…
…1101110000000
31112122002101202
41110121232000
521131003230
62110120332
7356030441
oct124315600
945562352
1022125440
1111542197
1274b00a8
13477899c
142d1d2c8
151e20a45
hex1519b80

22125440 has 64 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 8755200.

The previous prime is 22125437. The next prime is 22125469. The reversal of 22125440 is 4452122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115745 + ... + 115935.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 222125440 is an apocalyptic number.

22125440 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 22125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

22125440 is an abundant number, since it is smaller than the sum of its proper divisors (31338880).

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

22125440 is a wasteful number, since it uses less digits than its factorization.

22125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

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

The square root of 22125440 is about 4703.7687017965. The cubic root of 22125440 is about 280.7354813714.

Adding to 22125440 its reverse (4452122), we get a palindrome (26577562).

The spelling of 22125440 in words is "twenty-two million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 191 320 362 382 640 724 764 905 955 1448 1528 1810 1910 2896 3056 3620 3820 5792 6112 7240 7640 11584 12224 14480 15280 23168 24448 28960 30560 34571 57920 61120 69142 115840 122240 138284 172855 276568 345710 553136 691420 1106272 1382840 2212544 2765680 4425088 5531360 11062720 22125440