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225210111030 = 232517473131833
BaseRepresentation
bin1101000110111110010…
…0011001010000110110
3210112022021120000110100
43101233210121100312
512142212242023110
6251243214134530
722161626233662
oct3215744312066
9715267500410
10225210111030
1187569266803
12377924b1446
131831123cc38
14ac8631d8a2
155cd17ebbc0
hex346f919436

225210111030 has 96 divisors (see below), whose sum is σ = 633181670784. Its totient is φ = 55320680448.

The previous prime is 225210111029. The next prime is 225210111109. The reversal of 225210111030 is 30111012522.

225210111030 is a `hidden beast` number, since 2 + 2 + 521 + 0 + 1 + 110 + 30 = 666.

225210111030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2252101110302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225210110994 and 225210111012.

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 47 ways as a sum of consecutive naturals, for example, 1494007 + ... + 1637826.

It is an arithmetic number, because the mean of its divisors is an integer number (6595642404).

Almost surely, 2225210111030 is an apocalyptic number.

225210111030 is an abundant number, since it is smaller than the sum of its proper divisors (407971559754).

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

225210111030 is a wasteful number, since it uses less digits than its factorization.

225210111030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131910 (or 3131907 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 225210111030 its reverse (30111012522), we get a palindrome (255321123552).

The spelling of 225210111030 in words is "two hundred twenty-five billion, two hundred ten million, one hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 47 51 85 90 94 102 141 153 170 235 255 282 306 423 470 510 705 765 799 846 1410 1530 1598 2115 2397 3995 4230 4794 7191 7990 11985 14382 23970 35955 71910 3131833 6263666 9395499 15659165 18790998 28186497 31318330 46977495 53241161 56372994 93954990 106482322 140932485 147196151 159723483 266205805 281864970 294392302 319446966 441588453 479170449 532411610 735980755 798617415 883176906 958340898 1324765359 1471961510 1597234830 2207942265 2395852245 2502334567 2649530718 4415884530 4791704490 5004669134 6623826795 7507003701 12511672835 13247653590 15014007402 22521011103 25023345670 37535018505 45042022206 75070037010 112605055515 225210111030