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100000224 = 2533115741
BaseRepresentation
bin1011111010111…
…10000111100000
320222011112112000
411331132013200
5201100001344
613531204000
72322662562
oct575360740
9228145460
10100000224
11514a1715
12295a6600
131794393c
14d3d1332
158ba4a69
hex5f5e1e0

100000224 has 48 divisors (see below), whose sum is σ = 291669840. Its totient is φ = 33333120.

The previous prime is 100000223. The next prime is 100000231. The reversal of 100000224 is 422000001.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57007 + ... + 58734.

It is an arithmetic number, because the mean of its divisors is an integer number (6076455).

Almost surely, 2100000224 is an apocalyptic number.

It is an amenable number.

100000224 is an abundant number, since it is smaller than the sum of its proper divisors (191669616).

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

100000224 is a wasteful number, since it uses less digits than its factorization.

100000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115760 (or 115746 counting only the distinct ones).

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

The square root of 100000224 is about 10000.0111999937. The cubic root of 100000224 is about 464.1592299330.

Adding to 100000224 its reverse (422000001), we get a palindrome (522000225).

The spelling of 100000224 in words is "one hundred million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 115741 231482 347223 462964 694446 925928 1041669 1388892 1851856 2083338 2777784 3125007 3703712 4166676 5555568 6250014 8333352 11111136 12500028 16666704 25000056 33333408 50000112 100000224