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41225100 = 22352767293
BaseRepresentation
bin1001110101000…
…0101110001100
32212120110012120
42131100232030
541023200400
64031332540
71010256540
oct235205614
985513176
1041225100
11212a8034
1211981150
138705367
145691a20
153944ca0
hex2750b8c

41225100 has 144 divisors (see below), whose sum is σ = 138824448. Its totient is φ = 9250560.

The previous prime is 41225087. The next prime is 41225101. The reversal of 41225100 is 152214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41225100.

It is not an unprimeable number, because it can be changed into a prime (41225101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140554 + ... + 140846.

Almost surely, 241225100 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 41225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69412224).

41225100 is an abundant number, since it is smaller than the sum of its proper divisors (97599348).

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

41225100 is a wasteful number, since it uses less digits than its factorization.

41225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 41225100 is about 6420.6775343417. The cubic root of 41225100 is about 345.4516244612.

41225100 divided by its sum of digits (15) gives a triangular number (2748340 = T2344).

Adding to 41225100 its reverse (152214), we get a palindrome (41377314).

The spelling of 41225100 in words is "forty-one million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 293 300 335 350 402 420 469 525 586 670 700 804 879 938 1005 1050 1172 1340 1407 1465 1675 1758 1876 2010 2051 2100 2345 2814 2930 3350 3516 4020 4102 4395 4690 5025 5628 5860 6153 6700 7035 7325 8204 8790 9380 10050 10255 11725 12306 14070 14650 17580 19631 20100 20510 21975 23450 24612 28140 29300 30765 35175 39262 41020 43950 46900 51275 58893 61530 70350 78524 87900 98155 102550 117786 123060 137417 140700 153825 196310 205100 235572 274834 294465 307650 392620 412251 490775 549668 588930 615300 687085 824502 981550 1177860 1374170 1472325 1649004 1963100 2061255 2748340 2944650 3435425 4122510 5889300 6870850 8245020 10306275 13741700 20612550 41225100