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42222042216 = 2332586417253
BaseRepresentation
bin100111010100101000…
…010011110001101000
311000222112012222101100
4213110220103301220
51142432320322331
631221352521400
73023205302664
oct472450236150
9130875188340
1042222042216
11169a7273272
1282240b0260
133c9b530a43
1420877458a4
151171b09ae6
hex9d4a13c68

42222042216 has 24 divisors (see below), whose sum is σ = 114351364530. Its totient is φ = 14074014048.

The previous prime is 42222042211. The next prime is 42222042217. The reversal of 42222042216 is 61224022224.

42222042216 is a `hidden beast` number, since 4 + 2 + 2 + 220 + 422 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24891372900 + 17330669316 = 157770^2 + 131646^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42222042216.

It is not an unprimeable number, because it can be changed into a prime (42222042211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293208555 + ... + 293208698.

Almost surely, 242222042216 is an apocalyptic number.

It is an amenable number.

42222042216 is an abundant number, since it is smaller than the sum of its proper divisors (72129322314).

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

42222042216 is a wasteful number, since it uses less digits than its factorization.

42222042216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586417265 (or 586417258 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 42222042216 in words is "forty-two billion, two hundred twenty-two million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 586417253 1172834506 1759251759 2345669012 3518503518 4691338024 5277755277 7037007036 10555510554 14074014072 21111021108 42222042216