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541221252 = 22311131971601
BaseRepresentation
bin100000010000100…
…110000110000100
31101201101212222120
4200100212012010
52102023040002
6125412125540
716261206345
oct4020460604
91351355876
10541221252
112585615a0
121313068b0
1388188780
1451c460cc
15327abcbc
hex20426184

541221252 has 96 divisors (see below), whose sum is σ = 1492089984. Its totient is φ = 150528000.

The previous prime is 541221209. The next prime is 541221253. The reversal of 541221252 is 252122145.

It is not an unprimeable number, because it can be changed into a prime (541221253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337252 + ... + 338852.

It is an arithmetic number, because the mean of its divisors is an integer number (15542604).

Almost surely, 2541221252 is an apocalyptic number.

541221252 is a gapful number since it is divisible by the number (52) 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 541221252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746044992).

541221252 is an abundant number, since it is smaller than the sum of its proper divisors (950868732).

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

541221252 is a wasteful number, since it uses less digits than its factorization.

541221252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 541221252 is about 23264.1623962695. The cubic root of 541221252 is about 814.9387094310.

Adding to 541221252 its reverse (252122145), we get a palindrome (793343397).

The spelling of 541221252 in words is "five hundred forty-one million, two hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 197 286 394 429 572 591 788 858 1182 1601 1716 2167 2364 2561 3202 4334 4803 5122 6404 6501 7683 8668 9606 10244 13002 15366 17611 19212 20813 26004 28171 30732 35222 41626 52833 56342 62439 70444 83252 84513 105666 112684 124878 169026 211332 228943 249756 315397 338052 457886 630794 686829 915772 946191 1261588 1373658 1892382 2747316 3469367 3784764 4100161 6938734 8200322 10408101 12300483 13877468 16400644 20816202 24600966 41632404 45101771 49201932 90203542 135305313 180407084 270610626 541221252