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22940014272 = 2637432771433
BaseRepresentation
bin10101010111010101…
…001101011011000000
32012012201200110122020
4111113111031123000
5333440120424042
614312152041440
71441321622040
oct252725153300
965181613566
1022940014272
11980204928a
124542693280
132217818856
141178955720
158e3e113ec
hex55754d6c0

22940014272 has 224 divisors, whose sum is σ = 71285356032. Its totient is φ = 6374301696.

The previous prime is 22940014271. The next prime is 22940014277. The reversal of 22940014272 is 27241004922.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (22940014271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16007668 + ... + 16009100.

Almost surely, 222940014272 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 22940014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642678016).

22940014272 is an abundant number, since it is smaller than the sum of its proper divisors (48345341760).

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

22940014272 is a wasteful number, since it uses less digits than its factorization.

22940014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 22940014272 in words is "twenty-two billion, nine hundred forty million, fourteen thousand, two hundred seventy-two".