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227904309248 = 211721121372
BaseRepresentation
bin1101010001000000100…
…1111100100000000000
3210210021001011110121112
43110100021330200000
512213222000343443
6252410420142452
722315452444200
oct3242011744000
9723231143545
10227904309248
118872104a800
1238204837a28
1318650474975
14b060082400
155ddd0d7b18
hex351027c800

227904309248 has 324 divisors, whose sum is σ = 586952594865. Its totient is φ = 88145756160.

The previous prime is 227904309239. The next prime is 227904309257. The reversal of 227904309248 is 842903409722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (227904309239) and next prime (227904309257).

It can be written as a sum of positive squares in 2 ways, for example, as 226149704704 + 1754604544 = 475552^2 + 41888^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337568.

It is a junction number, because it is equal to n+sod(n) for n = 227904309196 and 227904309205.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1663535036 + ... + 1663535172.

Almost surely, 2227904309248 is an apocalyptic number.

227904309248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227904309248

227904309248 is an abundant number, since it is smaller than the sum of its proper divisors (359048285617).

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

227904309248 is an equidigital number, since it uses as much as digits as its factorization.

227904309248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

Multiplying 227904309248 by its sum of digits (50), we get a square (11395215462400 = 33756802).

The spelling of 227904309248 in words is "two hundred twenty-seven billion, nine hundred four million, three hundred nine thousand, two hundred forty-eight".