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41222820 = 22351076421
BaseRepresentation
bin1001110101000…
…0001010100100
32212120100002010
42131100022210
541023112240
64031314220
71010250102
oct235201244
985510063
1041222820
11212a6351
121197b970
138704302
145690c72
153944280
hex27502a4

41222820 has 48 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 10888320.

The previous prime is 41222801. The next prime is 41222821. The reversal of 41222820 is 2822214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41222821) 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, 3210 + ... + 9630.

It is an arithmetic number, because the mean of its divisors is an integer number (2427516).

Almost surely, 241222820 is an apocalyptic number.

It is a pronic number, being equal to 6420×6421.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41222820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

41222820 is an abundant number, since it is smaller than the sum of its proper divisors (75297948).

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

41222820 is a wasteful number, since it uses less digits than its factorization.

41222820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 41222820 is about 6420.4999805311. The cubic root of 41222820 is about 345.4452558150.

It can be divided in two parts, 412 and 22820, that added together give a palindrome (23232).

The spelling of 41222820 in words is "forty-one million, two hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 6421 12842 19263 25684 32105 38526 64210 77052 96315 128420 192630 385260 687047 1374094 2061141 2748188 3435235 4122282 6870470 8244564 10305705 13740940 20611410 41222820