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22069632 = 273134421
BaseRepresentation
bin101010000110…
…0000110000000
31112112020211210
41110030012000
521122212012
62105010120
7355405644
oct124140600
945466753
1022069632
1111504272
127483940
134759470
142d06c24
151e0e23c
hex150c180

22069632 has 64 divisors (see below), whose sum is σ = 63146160. Its totient is φ = 6789120.

The previous prime is 22069631. The next prime is 22069643. The reversal of 22069632 is 23696022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 22069632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22069631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 7202.

Almost surely, 222069632 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 22069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31573080).

22069632 is an abundant number, since it is smaller than the sum of its proper divisors (41076528).

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

22069632 is a wasteful number, since it uses less digits than its factorization.

22069632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 22069632 is about 4697.8326917846. The cubic root of 22069632 is about 280.4992453613.

The spelling of 22069632 in words is "twenty-two million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4421 4992 8842 13263 17684 26526 35368 53052 57473 70736 106104 114946 141472 172419 212208 229892 282944 344838 424416 459784 565888 689676 848832 919568 1379352 1697664 1839136 2758704 3678272 5517408 7356544 11034816 22069632