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20122240 = 275231367
BaseRepresentation
bin100110011000…
…0101010000000
31101212022112011
41030300222000
520122402430
61555142304
7333015265
oct114605200
941768464
1020122240
11103a4156
1268a4994
134226c68
14295b26c
151b7722a
hex1330a80

20122240 has 64 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 7693312.

The previous prime is 20122213. The next prime is 20122241. The reversal of 20122240 is 4222102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20122240.

It is not an unprimeable number, because it can be changed into a prime (20122241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14037 + ... + 15403.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 220122240 is an apocalyptic number.

20122240 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 20122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

20122240 is an abundant number, since it is smaller than the sum of its proper divisors (30110720).

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

20122240 is a wasteful number, since it uses less digits than its factorization.

20122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 20122240 is about 4485.7819831106. The cubic root of 20122240 is about 271.9936561381.

Adding to 20122240 its reverse (4222102), we get a palindrome (24344342).

The spelling of 20122240 in words is "twenty million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1367 1472 1840 2734 2944 3680 5468 6835 7360 10936 13670 14720 21872 27340 31441 43744 54680 62882 87488 109360 125764 157205 174976 218720 251528 314410 437440 503056 628820 874880 1006112 1257640 2012224 2515280 4024448 5030560 10061120 20122240