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100228952 = 23193189239
BaseRepresentation
bin1011111100101…
…01111101011000
320222121011021102
411332111331120
5201124311302
613540130532
72324634455
oct576257530
9228534242
10100228952
115163854a
1229696a48
13179c3a95
14d45082c
158bec702
hex5f95f58

100228952 has 64 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 45239040.

The previous prime is 100228951. The next prime is 100228987. The reversal of 100228952 is 259822001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100228951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419249 + ... + 419487.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2100228952 is an apocalyptic number.

It is an amenable number.

100228952 is an abundant number, since it is smaller than the sum of its proper divisors (107131048).

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

100228952 is a wasteful number, since it uses less digits than its factorization.

100228952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 100228952 is about 10011.4410551129. The cubic root of 100228952 is about 464.5128470451.

The spelling of 100228952 in words is "one hundred million, two hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 19 31 38 62 76 89 124 152 178 239 248 356 478 589 712 956 1178 1691 1912 2356 2759 3382 4541 4712 5518 6764 7409 9082 11036 13528 14818 18164 21271 22072 29636 36328 42542 52421 59272 85084 104842 140771 170168 209684 281542 404149 419368 563084 659401 808298 1126168 1318802 1616596 2637604 3233192 5275208 12528619 25057238 50114476 100228952