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97722668232 = 2332721922772
BaseRepresentation
bin101101100000010111…
…0011001010011001000
3100100020110102220100200
41123000232121103020
53100114000340412
6112520531532200
710026441655200
oct1330056312310
9310213386320
1097722668232
1138497998032
1216b3315a060
1392a4a73357
144a30813400
15281e3449dc
hex16c0b994c8

97722668232 has 324 divisors, whose sum is σ = 326110398705. Its totient is φ = 26355756672.

The previous prime is 97722668231. The next prime is 97722668257. The reversal of 97722668232 is 23286622779.

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 can be written as a sum of positive squares in 2 ways, for example, as 85770493956 + 11952174276 = 292866^2 + 109326^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=221046.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (97722668231) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 352789278 + ... + 352789554.

Almost surely, 297722668232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97722668232

97722668232 is an abundant number, since it is smaller than the sum of its proper divisors (228387730473).

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

97722668232 is a wasteful number, since it uses less digits than its factorization.

97722668232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 308 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 97722668232 in words is "ninety-seven billion, seven hundred twenty-two million, six hundred sixty-eight thousand, two hundred thirty-two".