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103225472 = 277235009
BaseRepresentation
bin1100010011100…
…01100010000000
321012020101201122
412021301202000
5202411203342
614124251412
72362254620
oct611614200
9235211648
10103225472
11532a4909
122a6a0b68
131850297c
14d9d0880
1590e04d2
hex6271880

103225472 has 64 divisors (see below), whose sum is σ = 245289600. Its totient is φ = 42307584.

The previous prime is 103225469. The next prime is 103225477. The reversal of 103225472 is 274522301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103225477) 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, 18104 + ... + 23112.

It is an arithmetic number, because the mean of its divisors is an integer number (3832650).

Almost surely, 2103225472 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 103225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122644800).

103225472 is an abundant number, since it is smaller than the sum of its proper divisors (142064128).

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

103225472 is an equidigital number, since it uses as much as digits as its factorization.

103225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 103225472 is about 10159.9937007854. The cubic root of 103225472 is about 469.0966078342.

Adding to 103225472 its reverse (274522301), we get a palindrome (377747773).

The spelling of 103225472 in words is "one hundred three million, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5009 5152 10018 10304 20036 20608 35063 40072 70126 80144 115207 140252 160288 230414 280504 320576 460828 561008 641152 806449 921656 1122016 1612898 1843312 2244032 3225796 3686624 4488064 6451592 7373248 12903184 14746496 25806368 51612736 103225472