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18100224 = 21232491
BaseRepresentation
bin100010100001…
…1000000000000
31021001120211200
41011003000000
514113201344
61443541200
7306564222
oct105030000
937046750
1018100224
11a242a6a
12608a800
1339997bc
142592412
1518c8069
hex1143000

18100224 has 78 divisors (see below), whose sum is σ = 52389636. Its totient is φ = 6021120.

The previous prime is 18100211. The next prime is 18100231. The reversal of 18100224 is 42200181.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18100197 and 18100206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36619 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (671662).

Almost surely, 218100224 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 18100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26194818).

18100224 is an abundant number, since it is smaller than the sum of its proper divisors (34289412).

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

18100224 is an equidigital number, since it uses as much as digits as its factorization.

18100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18100224 is about 4254.4358027828. The cubic root of 18100224 is about 262.5596490297.

The spelling of 18100224 in words is "eighteen million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 491 512 576 768 982 1024 1152 1473 1536 1964 2048 2304 2946 3072 3928 4096 4419 4608 5892 6144 7856 8838 9216 11784 12288 15712 17676 18432 23568 31424 35352 36864 47136 62848 70704 94272 125696 141408 188544 251392 282816 377088 502784 565632 754176 1005568 1131264 1508352 2011136 2262528 3016704 4525056 6033408 9050112 18100224