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103223240 = 23541113557
BaseRepresentation
bin1100010011100…
…00111111001000
321012020021122222
412021300333020
5202411120430
614124233212
72362245251
oct611607710
9235207588
10103223240
11532a316a
122a69b808
1318501953
14d9cdb28
1590de9e5
hex6270fc8

103223240 has 64 divisors (see below), whose sum is σ = 240453360. Its totient is φ = 39854080.

The previous prime is 103223231. The next prime is 103223243. The reversal of 103223240 is 42322301.

It can be written as a sum of positive squares in 8 ways, for example, as 1898884 + 101324356 = 1378^2 + 10066^2 .

It is not an unprimeable number, because it can be changed into a prime (103223243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185042 + ... + 185598.

Almost surely, 2103223240 is an apocalyptic number.

103223240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120226680).

103223240 is an abundant number, since it is smaller than the sum of its proper divisors (137230120).

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

103223240 is a wasteful number, since it uses less digits than its factorization.

103223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 103223240 is about 10159.8838576039. The cubic root of 103223240 is about 469.0932267851.

Adding to 103223240 its reverse (42322301), we get a palindrome (145545541).

The spelling of 103223240 in words is "one hundred three million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 557 565 820 904 1114 1130 1640 2228 2260 2785 4456 4520 4633 5570 9266 11140 18532 22280 22837 23165 37064 45674 46330 62941 91348 92660 114185 125882 182696 185320 228370 251764 314705 456740 503528 629410 913480 1258820 2517640 2580581 5161162 10322324 12902905 20644648 25805810 51611620 103223240