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22730224 = 24111771107
BaseRepresentation
bin101011010110…
…1010111110000
31120202211000011
41112231113300
521304331344
62131104304
7364126606
oct126552760
946684004
1022730224
1111915610
127742094
13492b04a
143039876
151eded34
hex15ad5f0

22730224 has 80 divisors (see below), whose sum is σ = 52068096. Its totient is φ = 9497600.

The previous prime is 22730221. The next prime is 22730249. The reversal of 22730224 is 42203722.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22730195 and 22730204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212379 + ... + 212485.

Almost surely, 222730224 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 22730224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26034048).

22730224 is an abundant number, since it is smaller than the sum of its proper divisors (29337872).

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

22730224 is a wasteful number, since it uses less digits than its factorization.

22730224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 22730224 is about 4767.6224682749. The cubic root of 22730224 is about 283.2704278649.

Adding to 22730224 its reverse (42203722), we get a palindrome (64933946).

The spelling of 22730224 in words is "twenty-two million, seven hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 71 88 107 136 142 176 187 214 272 284 374 428 568 748 781 856 1136 1177 1207 1496 1562 1712 1819 2354 2414 2992 3124 3638 4708 4828 6248 7276 7597 9416 9656 12496 13277 14552 15194 18832 19312 20009 26554 29104 30388 40018 53108 60776 80036 83567 106216 121552 129149 160072 167134 212432 258298 320144 334268 516596 668536 1033192 1337072 1420639 2066384 2841278 5682556 11365112 22730224