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22848740964 = 223272592612
BaseRepresentation
bin10101010001111001…
…000001111001100100
32011222100221022012100
4111101321001321210
5333243234202324
614255131452100
71436133044100
oct252171017144
964870838170
1022848740964
1197655782a5
124517bb7030
13220193c18a
14116a796900
158dadd24c9
hex551e41e64

22848740964 has 243 divisors, whose sum is σ = 69482992761. Its totient is φ = 6312358080.

The previous prime is 22848740933. The next prime is 22848740977. The reversal of 22848740964 is 46904784822.

The square root of 22848740964 is 151158.

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

22848740964 is a `hidden beast` number, since 22 + 84 + 87 + 409 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 742998564 + 22105742400 = 27258^2 + 148680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22848740964.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 374569494 + ... + 374569554.

Almost surely, 222848740964 is an apocalyptic number.

22848740964 is the 151158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22848740964

22848740964 is an abundant number, since it is smaller than the sum of its proper divisors (46634251797).

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

22848740964 is a wasteful number, since it uses less digits than its factorization.

22848740964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 22848740964 in words is "twenty-two billion, eight hundred forty-eight million, seven hundred forty thousand, nine hundred sixty-four".