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225201451035 = 351111317967477
BaseRepresentation
bin1101000110111100001…
…1010111000000011011
3210112021200021001011210
43101233003113000123
512142203032413120
6251242304354203
722161462515121
oct3215703270033
9715250231153
10225201451035
1187564391390
123778b615963
131830c4ca292
14ac85107911
155cd0b8ace0
hex346f0d701b

225201451035 has 64 divisors (see below), whose sum is σ = 398778785280. Its totient is φ = 107616122880.

The previous prime is 225201451001. The next prime is 225201451049. The reversal of 225201451035 is 530154102522.

225201451035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225201451035 - 217 = 225201319963 is a prime.

It is a super-3 number, since 3×2252014510353 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225201450993 and 225201451011.

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 63 ways as a sum of consecutive naturals, for example, 3303717 + ... + 3371193.

It is an arithmetic number, because the mean of its divisors is an integer number (6230918520).

Almost surely, 2225201451035 is an apocalyptic number.

225201451035 is a deficient number, since it is larger than the sum of its proper divisors (173577334245).

225201451035 is a wasteful number, since it uses less digits than its factorization.

225201451035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67788.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 225201451035 its reverse (530154102522), we get a palindrome (755355553557).

The spelling of 225201451035 in words is "two hundred twenty-five billion, two hundred one million, four hundred fifty-one thousand, thirty-five".

Divisors: 1 3 5 11 15 33 55 113 165 179 339 537 565 895 1243 1695 1969 2685 3729 5907 6215 9845 18645 20227 29535 60681 67477 101135 202431 222497 303405 337385 667491 742247 1012155 1112485 2226741 3337455 3711235 7624901 11133705 12078383 22874703 36235149 38124505 60391915 83873911 114373515 132862213 181175745 251621733 398586639 419369555 664311065 1258108665 1364857279 1992933195 4094571837 6824286395 15013430069 20472859185 45040290207 75067150345 225201451035