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225011611332 = 223217934918003
BaseRepresentation
bin1101000110001110111…
…1001011011011000100
3210111210110001012001200
43101203233023123010
512141310433030312
6251211403422500
722153666065444
oct3214357133304
9714713035050
10225011611332
1187477208a72
1237737b24a30
13182ac08c7b1
14ac67c0c124
155cbe18c0dc
hex3463bcb6c4

225011611332 has 36 divisors (see below), whose sum is σ = 571956905520. Its totient is φ = 74584852272.

The previous prime is 225011611313. The next prime is 225011611361. The reversal of 225011611332 is 233116110522.

225011611332 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 11 + 611 + 3 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 225011611296 and 225011611305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17452558 + ... + 17465445.

It is an arithmetic number, because the mean of its divisors is an integer number (15887691820).

Almost surely, 2225011611332 is an apocalyptic number.

It is an amenable number.

225011611332 is an abundant number, since it is smaller than the sum of its proper divisors (346945294188).

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

225011611332 is a wasteful number, since it uses less digits than its factorization.

225011611332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34918192 (or 34918187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 225011611332 its reverse (233116110522), we get a palindrome (458127721854).

The spelling of 225011611332 in words is "two hundred twenty-five billion, eleven million, six hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 34918003 69836006 104754009 139672012 209508018 314262027 419016036 628524054 1257048108 6250322537 12500645074 18750967611 25001290148 37501935222 56252902833 75003870444 112505805666 225011611332