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225006651270 = 2325191813731949
BaseRepresentation
bin1101000110001101110…
…0010000011110000110
3210111210002201012010200
43101203130100132012
512141303200320040
6251211105231330
722153605656562
oct3214334203606
9714702635120
10225006651270
1187474430445
1237736332546
13182ab043c4b
14ac672ba6a2
155cbda0c630
hex3463710786

225006651270 has 192 divisors, whose sum is σ = 621188568000. Its totient is φ = 56349250560.

The previous prime is 225006651257. The next prime is 225006651313. The reversal of 225006651270 is 72156600522.

225006651270 is a `hidden beast` number, since 22 + 50 + 0 + 6 + 6 + 512 + 70 = 666.

It is a super-2 number, since 2×2250066512702 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115446256 + ... + 115448204.

It is an arithmetic number, because the mean of its divisors is an integer number (3235357125).

Almost surely, 2225006651270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225006651270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310594284000).

225006651270 is an abundant number, since it is smaller than the sum of its proper divisors (396181916730).

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

225006651270 is a wasteful number, since it uses less digits than its factorization.

225006651270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 225006651270 in words is "two hundred twenty-five billion, six million, six hundred fifty-one thousand, two hundred seventy".