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250224414 = 231119375393
BaseRepresentation
bin11101110101000…
…01111100011110
3122102211201100220
432322201330132
51003024140124
640455102210
76125605146
oct1672417436
9572751326
10250224414
11119277340
126b971966
133cac08ab
1425337926
1516e7a879
hexeea1f1e

250224414 has 64 divisors (see below), whose sum is σ = 590319360. Its totient is φ = 69880320.

The previous prime is 250224367. The next prime is 250224419. The reversal of 250224414 is 414422052.

It is a happy number.

It is a super-2 number, since 2×2502244142 = 125224514723286792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250224419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43702 + ... + 49094.

It is an arithmetic number, because the mean of its divisors is an integer number (9223740).

Almost surely, 2250224414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250224414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295159680).

250224414 is an abundant number, since it is smaller than the sum of its proper divisors (340094946).

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

250224414 is a wasteful number, since it uses less digits than its factorization.

250224414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 250224414 is about 15818.4833027696. The cubic root of 250224414 is about 630.1489645224.

Adding to 250224414 its reverse (414422052), we get a palindrome (664646466).

The spelling of 250224414 in words is "two hundred fifty million, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 5393 7733 10786 15466 16179 23199 32358 46398 59323 102467 118646 177969 199541 204934 307401 355938 399082 598623 614802 1127137 1197246 2194951 2254274 3381411 3791279 4389902 6584853 6762822 7582558 11373837 13169706 22747674 41704069 83408138 125112207 250224414