Search a number
-
+
225115117024 = 25737139195407
BaseRepresentation
bin1101000110100111101…
…0000001010111100000
3210112001122210211011211
43101221322001113200
512142013432221044
6251225542115504
722156363631350
oct3215172012740
9715048724154
10225115117024
118751a684366
123776671bb94
13182c765cb75
14ac77872b60
155cc82d5634
hex3469e815e0

225115117024 has 96 divisors (see below), whose sum is σ = 523943562240. Its totient is φ = 93194592768.

The previous prime is 225115116971. The next prime is 225115117033. The reversal of 225115117024 is 420711511522.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1054329 + ... + 1249735.

It is an arithmetic number, because the mean of its divisors is an integer number (5457745440).

Almost surely, 2225115117024 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 225115117024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261971781120).

225115117024 is an abundant number, since it is smaller than the sum of its proper divisors (298828445216).

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

225115117024 is a wasteful number, since it uses less digits than its factorization.

225115117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195600 (or 195592 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

Adding to 225115117024 its reverse (420711511522), we get a palindrome (645826628546).

The spelling of 225115117024 in words is "two hundred twenty-five billion, one hundred fifteen million, one hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 139 148 224 259 278 296 518 556 592 973 1036 1112 1184 1946 2072 2224 3892 4144 4448 5143 7784 8288 10286 15568 20572 31136 36001 41144 72002 82288 144004 164576 195407 288008 390814 576016 781628 1152032 1367849 1563256 2735698 3126512 5471396 6253024 7230059 10942792 14460118 21885584 27161573 28920236 43771168 50610413 54323146 57840472 101220826 108646292 115680944 190131011 202441652 217292584 231361888 380262022 404883304 434585168 760524044 809766608 869170336 1004978201 1521048088 1619533216 2009956402 3042096176 4019912804 6084192352 7034847407 8039825608 14069694814 16079651216 28139389628 32159302432 56278779256 112557558512 225115117024