Search a number
-
+
103223890 = 25721121741
BaseRepresentation
bin1100010011100…
…01001001010010
321012020022120001
412021301021102
5202411131030
614124240214
72362250200
oct611611122
9235208501
10103223890
11532a3700
122a6a006a
1318502033
14d9d0070
1590decca
hex6271252

103223890 has 72 divisors (see below), whose sum is σ = 237709836. Its totient is φ = 32155200.

The previous prime is 103223851. The next prime is 103223899. The reversal of 103223890 is 98322301.

It can be written as a sum of positive squares in 2 ways, for example, as 83960569 + 19263321 = 9163^2 + 4389^2 .

It is not an unprimeable number, because it can be changed into a prime (103223899) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58420 + ... + 60160.

Almost surely, 2103223890 is an apocalyptic number.

103223890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103223890 is an abundant number, since it is smaller than the sum of its proper divisors (134485946).

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

103223890 is a wasteful number, since it uses less digits than its factorization.

103223890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 103223890 is about 10159.9158461082. The cubic root of 103223890 is about 469.0942114146.

The spelling of 103223890 in words is "one hundred three million, two hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 121 154 242 245 385 490 539 605 770 847 1078 1210 1694 1741 2695 3482 4235 5390 5929 8470 8705 11858 12187 17410 19151 24374 29645 38302 59290 60935 85309 95755 121870 134057 170618 191510 210661 268114 421322 426545 670285 853090 938399 1053305 1340570 1474627 1876798 2106610 2949254 4691995 7373135 9383990 10322389 14746270 20644778 51611945 103223890