Search a number
-
+
241550010 = 232513215881
BaseRepresentation
bin11100110010111…
…00001010111010
3121211112000022200
432121130022322
5443314100020
635545131030
75662066302
oct1631341272
9554460280
10241550010
11114392109
1268a89a76
133b074500
142411a602
1516315590
hexe65c2ba

241550010 has 72 divisors (see below), whose sum is σ = 680099004. Its totient is φ = 59454720.

The previous prime is 241549999. The next prime is 241550017. The reversal of 241550010 is 10055142.

241550010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 74597769 + 166952241 = 8637^2 + 12921^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241550017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7270 + ... + 23150.

Almost surely, 2241550010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241550010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340049502).

241550010 is an abundant number, since it is smaller than the sum of its proper divisors (438548994).

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

241550010 is a wasteful number, since it uses less digits than its factorization.

241550010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15920 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 241550010 is about 15541.8792300030. The cubic root of 241550010 is about 622.7814762281.

It can be divided in two parts, 2415 and 50010, that added together give a palindrome (52425).

The spelling of 241550010 in words is "two hundred forty-one million, five hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 15881 31762 47643 79405 95286 142929 158810 206453 238215 285858 412906 476430 619359 714645 1032265 1238718 1429290 1858077 2064530 2683889 3096795 3716154 5367778 6193590 8051667 9290385 13419445 16103334 18580770 24155001 26838890 40258335 48310002 80516670 120775005 241550010