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22261248 = 29324831
BaseRepresentation
bin101010011101…
…0111000000000
31112212222200200
41110322320000
521144324443
62113045200
7360134412
oct124727000
945788620
1022261248
1111625229
127556800
1347c5749
142d569b2
151e4add3
hex153ae00

22261248 has 60 divisors (see below), whose sum is σ = 64260768. Its totient is φ = 7418880.

The previous prime is 22261247. The next prime is 22261249. The reversal of 22261248 is 84216222.

It is a happy number.

22261248 is a `hidden beast` number, since 2 + 2 + 2 + 612 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (22261247) and next prime (22261249).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2193 + ... + 7023.

Almost surely, 222261248 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 22261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130384).

22261248 is an abundant number, since it is smaller than the sum of its proper divisors (41999520).

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

22261248 is an equidigital number, since it uses as much as digits as its factorization.

22261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4836 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22261248 is about 4718.1827009983. The cubic root of 22261248 is about 281.3087035982.

The spelling of 22261248 in words is "twenty-two million, two hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 4831 9662 14493 19324 28986 38648 43479 57972 77296 86958 115944 154592 173916 231888 309184 347832 463776 618368 695664 927552 1236736 1391328 1855104 2473472 2782656 3710208 5565312 7420416 11130624 22261248