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250405122 = 23113741261
BaseRepresentation
bin11101110110011…
…10000100000010
3122110011220020210
432323032010002
51003100430442
640503014550
76130260042
oct1673160402
9573156223
10250405122
11119390090
126ba3a456
133cb54c16
1425383722
1516eb419c
hexeece102

250405122 has 96 divisors (see below), whose sum is σ = 584551872. Its totient is φ = 70848000.

The previous prime is 250405097. The next prime is 250405147. The reversal of 250405122 is 221504052.

It is a happy number.

250405122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (250405097) and next prime (250405147).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4104972 + ... + 4105032.

It is an arithmetic number, because the mean of its divisors is an integer number (6089082).

Almost surely, 2250405122 is an apocalyptic number.

250405122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 250405122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292275936).

250405122 is an abundant number, since it is smaller than the sum of its proper divisors (334146750).

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

250405122 is a wasteful number, since it uses less digits than its factorization.

250405122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 250405122 is about 15824.1941974939. The cubic root of 250405122 is about 630.3006224626.

Adding to 250405122 its reverse (221504052), we get a palindrome (471909174).

The spelling of 250405122 in words is "two hundred fifty million, four hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 41 61 66 74 82 111 122 123 183 222 246 366 407 451 671 814 902 1221 1342 1353 1517 1681 2013 2257 2442 2501 2706 3034 3362 4026 4514 4551 5002 5043 6771 7503 9102 10086 13542 15006 16687 18491 24827 27511 33374 36982 49654 50061 55022 55473 62197 74481 82533 92537 100122 102541 110946 124394 148962 165066 185074 186591 205082 277611 307623 373182 555222 615246 684167 1017907 1127951 1368334 2035814 2052501 2255902 3053721 3383853 3794017 4105002 6107442 6767706 7588034 11382051 22764102 41734187 83468374 125202561 250405122