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22073472 = 27342129
BaseRepresentation
bin101010000110…
…1000010000000
31112112110010000
41110031002000
521122322342
62105040000
7355423101
oct124150200
945473100
1022073472
1111507143
127486000
13475b135
142d083a8
151e1044c
hex150d080

22073472 has 80 divisors (see below), whose sum is σ = 65721150. Its totient is φ = 7354368.

The previous prime is 22073453. The next prime is 22073477. The reversal of 22073472 is 27437022.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 1498176 = 4536^2 + 1224^2 .

It is a super-2 number, since 2×220734722 = 974476332269568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22073477) 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 9 ways as a sum of consecutive naturals, for example, 9304 + ... + 11432.

Almost surely, 222073472 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 22073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32860575).

22073472 is an abundant number, since it is smaller than the sum of its proper divisors (43647678).

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

22073472 is an equidigital number, since it uses as much as digits as its factorization.

22073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 22073472 is about 4698.2413731097. The cubic root of 22073472 is about 280.5155128828.

The spelling of 22073472 in words is "twenty-two million, seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2129 2592 3456 4258 5184 6387 8516 10368 12774 17032 19161 25548 34064 38322 51096 57483 68128 76644 102192 114966 136256 153288 172449 204384 229932 272512 306576 344898 408768 459864 613152 689796 817536 919728 1226304 1379592 1839456 2452608 2759184 3678912 5518368 7357824 11036736 22073472