Search a number
-
+
122248630 = 2573291229
BaseRepresentation
bin1110100100101…
…01110110110110
322112000212121001
413102111312312
5222243424010
620044113514
73013045000
oct722256666
9275025531
10122248630
1163008229
1234b3589a
131c43358a
1412343370
15aaebc3a
hex7495db6

122248630 has 64 divisors (see below), whose sum is σ = 265680000. Its totient is φ = 40435584.

The previous prime is 122248619. The next prime is 122248631. The reversal of 122248630 is 36842221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122248631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98856 + ... + 100084.

It is an arithmetic number, because the mean of its divisors is an integer number (4151250).

Almost surely, 2122248630 is an apocalyptic number.

122248630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122248630 is an abundant number, since it is smaller than the sum of its proper divisors (143431370).

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

122248630 is a wasteful number, since it uses less digits than its factorization.

122248630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 122248630 is about 11056.6102400329. The cubic root of 122248630 is about 496.3042569376.

The spelling of 122248630 in words is "one hundred twenty-two million, two hundred forty-eight thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 343 406 490 686 1015 1229 1421 1715 2030 2458 2842 3430 6145 7105 8603 9947 12290 14210 17206 19894 35641 43015 49735 60221 71282 86030 99470 120442 178205 249487 301105 356410 421547 498974 602210 843094 1247435 1746409 2107735 2494870 3492818 4215470 8732045 12224863 17464090 24449726 61124315 122248630