Search a number
-
+
122218470 = 23451122943
BaseRepresentation
bin1110100100011…
…10011111100110
322111222100020000
413102032133212
5222241442340
620043322130
73012561033
oct722163746
9274870200
10122218470
1162a97600
1234b20346
131c42292a
141233638a
15aae2d30
hex748e7e6

122218470 has 240 divisors, whose sum is σ = 382369680. Its totient is φ = 27941760.

The previous prime is 122218433. The next prime is 122218483. The reversal of 122218470 is 74812221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2842269 + ... + 2842311.

It is an arithmetic number, because the mean of its divisors is an integer number (1593207).

Almost surely, 2122218470 is an apocalyptic number.

122218470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122218470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191184840).

122218470 is an abundant number, since it is smaller than the sum of its proper divisors (260151210).

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

122218470 is a wasteful number, since it uses less digits than its factorization.

122218470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 122218470 is about 11055.2462659138. The cubic root of 122218470 is about 496.2634391181.

The spelling of 122218470 in words is "one hundred twenty-two million, two hundred eighteen thousand, four hundred seventy".