Search a number
-
+
41222100 = 22352313439
BaseRepresentation
bin1001110100111…
…1111111010100
32212120022002110
42131033333110
541023101400
64031311020
71010245023
oct235177724
985508073
1041222100
11212a5857
121197b470
138703b9a
1456908ba
153943e50
hex274ffd4

41222100 has 72 divisors (see below), whose sum is σ = 119922880. Its totient is φ = 10932480.

The previous prime is 41222099. The next prime is 41222101. The reversal of 41222100 is 122214.

It is an interprime number because it is at equal distance from previous prime (41222099) and next prime (41222101).

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 (41222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93681 + ... + 94119.

Almost surely, 241222100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59961440).

41222100 is an abundant number, since it is smaller than the sum of its proper divisors (78700780).

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

41222100 is a wasteful number, since it uses less digits than its factorization.

41222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

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

The square root of 41222100 is about 6420.4439098866. The cubic root of 41222100 is about 345.4432446148.

Adding to 41222100 its reverse (122214), we get a palindrome (41344314).

The spelling of 41222100 in words is "forty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 439 626 878 939 1252 1317 1565 1756 1878 2195 2634 3130 3756 4390 4695 5268 6260 6585 7825 8780 9390 10975 13170 15650 18780 21950 23475 26340 31300 32925 43900 46950 65850 93900 131700 137407 274814 412221 549628 687035 824442 1374070 1648884 2061105 2748140 3435175 4122210 6870350 8244420 10305525 13740700 20611050 41222100