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225035154136 = 2313174115531999
BaseRepresentation
bin1101000110010100100…
…0111111001011011000
3210111212002100021201101
43101211020333023120
512141332444413021
6251214004201144
722154403151402
oct3214510771330
9714762307641
10225035154136
1187489529031
12377439991b4
13182b3c13650
14ac6adb9b72
155cc128ca91
hex346523f2d8

225035154136 has 128 divisors (see below), whose sum is σ = 493426080000. Its totient is φ = 95259525120.

The previous prime is 225035154061. The next prime is 225035154137. The reversal of 225035154136 is 631451530522.

225035154136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225035154095 and 225035154104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225035154137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112572865 + ... + 112574863.

It is an arithmetic number, because the mean of its divisors is an integer number (3854891250).

Almost surely, 2225035154136 is an apocalyptic number.

225035154136 is a gapful number since it is divisible by the number (26) 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 225035154136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246713040000).

225035154136 is an abundant number, since it is smaller than the sum of its proper divisors (268390925864).

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

225035154136 is a wasteful number, since it uses less digits than its factorization.

225035154136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 225035154136 its reverse (631451530522), we get a palindrome (856486684658).

The spelling of 225035154136 in words is "two hundred twenty-five billion, thirty-five million, one hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 328 442 533 697 884 1066 1394 1553 1768 1999 2132 2788 3106 3998 4264 5576 6212 7996 9061 12424 15992 18122 20189 25987 26401 33983 36244 40378 51974 52802 63673 67966 72488 80756 81959 103948 105604 127346 135932 161512 163918 207896 211208 254692 271864 327836 343213 441779 509384 655672 686426 827749 883558 1065467 1082441 1372852 1393303 1655498 1767116 2130934 2164882 2745704 2786606 3104447 3310996 3534232 4261868 4329764 5573212 6208894 6621992 8523736 8659528 11146424 12417788 14071733 18112939 24835576 28143466 36225878 40357811 52775599 56286932 72451756 80715622 105551198 112573864 127282327 144903512 161431244 211102396 254564654 322862488 422204792 509129308 686082787 1018258616 1372165574 1654670251 2163799559 2744331148 3309340502 4327599118 5488662296 6618681004 8655198236 13237362008 17310396472 28129394267 56258788534 112517577068 225035154136