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100224 = 273329
BaseRepresentation
bin11000011110000000
312002111000
4120132000
511201344
62052000
7565125
oct303600
9162430
10100224
1169333
124a000
1336807
142874c
151ea69
hex18780

100224 has 64 divisors (see below), whose sum is σ = 306000. Its totient is φ = 32256.

The previous prime is 100213. The next prime is 100237. The reversal of 100224 is 422001.

Adding to 100224 its reverse (422001), we get a palindrome (522225).

It can be divided in two parts, 100 and 224, that added together give a square (324 = 182).

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3442 + ... + 3470.

2100224 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 100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153000).

100224 is an abundant number, since it is smaller than the sum of its proper divisors (205776).

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

100224 is an equidigital number, since it uses as much as digits as its factorization.

100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100224 is about 316.5817429986. The cubic root of 100224 is about 46.4505196875.

The spelling of 100224 in words is "one hundred thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 100224