Search a number
-
+
104950224 = 24321989431
BaseRepresentation
bin1100100000101…
…10100111010000
321022111000122100
412100112213100
5203331401344
614225240400
72413030221
oct620264720
9238430570
10104950224
1154272725
122b193100
1318987a32
14dd1d248
159331569
hex64169d0

104950224 has 120 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 32693760.

The previous prime is 104950199. The next prime is 104950253. The reversal of 104950224 is 422059401.

It is a super-2 number, since 2×1049502242 = 22029099035300352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243289 + ... + 243719.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2104950224 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 104950224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

104950224 is an abundant number, since it is smaller than the sum of its proper divisors (208422576).

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

104950224 is a wasteful number, since it uses less digits than its factorization.

104950224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104950224 is about 10244.5216579399. The cubic root of 104950224 is about 471.6948376975.

The spelling of 104950224 in words is "one hundred four million, nine hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 89 114 144 152 171 178 228 267 304 342 356 431 456 534 684 712 801 862 912 1068 1293 1368 1424 1602 1691 1724 2136 2586 2736 3204 3382 3448 3879 4272 5073 5172 6408 6764 6896 7758 8189 10146 10344 12816 13528 15219 15516 16378 20292 20688 24567 27056 30438 31032 32756 38359 40584 49134 60876 62064 65512 73701 76718 81168 98268 115077 121752 131024 147402 153436 196536 230154 243504 294804 306872 345231 393072 460308 589608 613744 690462 728821 920616 1179216 1380924 1457642 1841232 2186463 2761848 2915284 4372926 5523696 5830568 6559389 8745852 11661136 13118778 17491704 26237556 34983408 52475112 104950224