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225310655088 = 243231398912653
BaseRepresentation
bin1101000111010110001…
…1111100001001110000
3210112120021202011222100
43101311203330021300
512142414011430323
6251301205140400
722164256653231
oct3216543741160
9715507664870
10225310655088
118760aa99a72
12378000ba700
131832901426c
14ac95813088
155cda55c943
hex34758fc270

225310655088 has 120 divisors (see below), whose sum is σ = 651112076160. Its totient is φ = 72656893440.

The previous prime is 225310655041. The next prime is 225310655107. The reversal of 225310655088 is 880556013522.

225310655088 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 10 + 6 + 550 + 88 = 666.

225310655088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17800570 + ... + 17813222.

It is an arithmetic number, because the mean of its divisors is an integer number (5425933968).

Almost surely, 2225310655088 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 225310655088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325556038080).

225310655088 is an abundant number, since it is smaller than the sum of its proper divisors (425801421072).

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

225310655088 is a wasteful number, since it uses less digits than its factorization.

225310655088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 225310655088 in words is "two hundred twenty-five billion, three hundred ten million, six hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 3989 4464 7978 11967 12653 15956 23934 25306 31912 35901 37959 47868 50612 63824 71802 75918 95736 101224 113877 123659 143604 151836 191472 202448 227754 247318 287208 303672 370977 392243 455508 494636 574416 607344 741954 784486 911016 989272 1112931 1176729 1483908 1568972 1822032 1978544 2225862 2353458 2967816 3137944 3530187 4451724 4706916 5935632 6275888 7060374 8903448 9413832 14120748 17806896 18827664 28241496 50472817 56482992 100945634 151418451 201891268 302836902 403782536 454255353 605673804 807565072 908510706 1211347608 1564657327 1817021412 2422695216 3129314654 3634042824 4693971981 6258629308 7268085648 9387943962 12517258616 14081915943 18775887924 25034517232 28163831886 37551775848 56327663772 75103551696 112655327544 225310655088