Search a number
-
+
122448870 = 23258915287
BaseRepresentation
bin1110100110001…
…10101111100110
322112102001021100
413103012233212
5222321330440
620052300530
73014540535
oct723065746
9275361240
10122448870
1163134715
1235011746
131c4a376b
141239631c
15ab3b230
hex74c6be6

122448870 has 48 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 32284032.

The previous prime is 122448869. The next prime is 122448871. The reversal of 122448870 is 78844221.

It is an interprime number because it is at equal distance from previous prime (122448869) and next prime (122448871).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122448871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367 + ... + 15653.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2122448870 is an apocalyptic number.

122448870 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 122448870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

122448870 is an abundant number, since it is smaller than the sum of its proper divisors (199516410).

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

122448870 is a wasteful number, since it uses less digits than its factorization.

122448870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15386 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 122448870 is about 11065.6617515628. The cubic root of 122448870 is about 496.5750868388.

The spelling of 122448870 in words is "one hundred twenty-two million, four hundred forty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 15287 30574 45861 76435 91722 137583 152870 229305 275166 458610 687915 1360543 1375830 2721086 4081629 6802715 8163258 12244887 13605430 20408145 24489774 40816290 61224435 122448870