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88230385296 = 24343722232
BaseRepresentation
bin101001000101011110…
…0001101011010010000
322102201221000222010000
41102022330031122100
52421143434312141
6104311003210000
76242300621004
oct1221274153220
9272657028100
1088230385296
11344668303a9
1215124216900
1384213106a1
1443adc94704
152465d265b6
hex148af0d690

88230385296 has 225 divisors, whose sum is σ = 263634800121. Its totient is φ = 28486940544.

The previous prime is 88230385289. The next prime is 88230385343. The reversal of 88230385296 is 69258303288.

The square root of 88230385296 is 297036.

It is a perfect power (a square), and thus also a powerful number.

88230385296 is a `hidden beast` number, since 8 + 8 + 230 + 385 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78949760400 + 9280624896 = 280980^2 + 96336^2 .

It is a super-2 number, since 2×882303852962 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 395651841 + ... + 395652063.

Almost surely, 288230385296 is an apocalyptic number.

88230385296 is the 297036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88230385296

88230385296 is an abundant number, since it is smaller than the sum of its proper divisors (175404414825).

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

88230385296 is an equidigital number, since it uses as much as digits as its factorization.

88230385296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 88230385296 in words is "eighty-eight billion, two hundred thirty million, three hundred eighty-five thousand, two hundred ninety-six".