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122115224 = 237111371447
BaseRepresentation
bin1110100011101…
…01010010011000
322111210002121002
413101311102120
5222230141344
620041204132
73011651030
oct721652230
9274702532
10122115224
1162a26a80
1234a90648
131c3b793a
141230a8c0
15aac244e
hex7475498

122115224 has 64 divisors (see below), whose sum is σ = 287746560. Its totient is φ = 47197440.

The previous prime is 122115221. The next prime is 122115239. The reversal of 122115224 is 422511221.

It is a junction number, because it is equal to n+sod(n) for n = 122115196 and 122115205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122115221) 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, 83669 + ... + 85115.

It is an arithmetic number, because the mean of its divisors is an integer number (4496040).

Almost surely, 2122115224 is an apocalyptic number.

122115224 is a gapful number since it is divisible by the number (14) 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 122115224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143873280).

122115224 is an abundant number, since it is smaller than the sum of its proper divisors (165631336).

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

122115224 is a wasteful number, since it uses less digits than its factorization.

122115224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 122115224 is about 11050.5757316078. The cubic root of 122115224 is about 496.1236576006.

Adding to 122115224 its reverse (422511221), we get a palindrome (544626445).

The spelling of 122115224 in words is "one hundred twenty-two million, one hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 154 274 308 548 616 959 1096 1447 1507 1918 2894 3014 3836 5788 6028 7672 10129 10549 11576 12056 15917 20258 21098 31834 40516 42196 63668 81032 84392 111419 127336 198239 222838 396478 445676 792956 891352 1387673 1585912 2180629 2775346 4361258 5550692 8722516 11101384 15264403 17445032 30528806 61057612 122115224