Search a number
-
+
122425016 = 2374171751
BaseRepresentation
bin1110100110000…
…00111010111000
322112100211112212
413103000322320
5222320100031
620051554252
73014411150
oct723007270
9275324485
10122425016
11631187aa
1234bbb988
131c49594c
141238b760
15ab3412b
hex74c0eb8

122425016 has 64 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 50400000.

The previous prime is 122425001. The next prime is 122425019. The reversal of 122425016 is 610524221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122424982 and 122425000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122425019) 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, 162641 + ... + 163391.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2122425016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122425016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

122425016 is an abundant number, since it is smaller than the sum of its proper divisors (150460744).

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

122425016 is a wasteful number, since it uses less digits than its factorization.

122425016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 122425016 is about 11064.5838602272. The cubic root of 122425016 is about 496.5428391711.

Adding to 122425016 its reverse (610524221), we get a palindrome (732949237).

It can be divided in two parts, 12 and 2425016, that multiplied together give a palindrome (29100192).

The spelling of 122425016 in words is "one hundred twenty-two million, four hundred twenty-five thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 71 82 142 164 284 287 328 497 568 574 751 994 1148 1502 1988 2296 2911 3004 3976 5257 5822 6008 10514 11644 20377 21028 23288 30791 40754 42056 53321 61582 81508 106642 123164 163016 213284 215537 246328 373247 426568 431074 746494 862148 1492988 1724296 2186161 2985976 4372322 8744644 15303127 17489288 30606254 61212508 122425016