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72222064 = 2429315021
BaseRepresentation
bin1000100111000…
…00010101110000
312000220021001021
410103200111300
5121442101224
611055545224
71534606645
oct423402560
9160807037
1072222064
1137849562
122022b214
1311c69065
14983ddcc
1565191e4
hex44e0570

72222064 has 40 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 33734400.

The previous prime is 72222061. The next prime is 72222071. The reversal of 72222064 is 46022227.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72222061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11874 + ... + 16894.

It is an arithmetic number, because the mean of its divisors is an integer number (3736368).

Almost surely, 272222064 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 72222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

72222064 is an abundant number, since it is smaller than the sum of its proper divisors (77232656).

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

72222064 is a wasteful number, since it uses less digits than its factorization.

72222064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 72222064 is about 8498.3565470037. The cubic root of 72222064 is about 416.4440217091. Note that the first 3 decimals are identical.

The spelling of 72222064 in words is "seventy-two million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 5021 7192 10042 14384 20084 40168 80336 145609 155651 291218 311302 582436 622604 1164872 1245208 2329744 2490416 4513879 9027758 18055516 36111032 72222064