Search a number
-
+
122440000 = 26543061
BaseRepresentation
bin1110100110001…
…00100101000000
322112101121002211
413103010211000
5222321040000
620052151504
73014502634
oct723044500
9275347084
10122440000
1163128a91
1235008594
131c49c707
1412392dc4
15ab387ba
hex74c4940

122440000 has 70 divisors (see below), whose sum is σ = 303710594. Its totient is φ = 48960000.

The previous prime is 122439979. The next prime is 122440013. The reversal of 122440000 is 44221.

It can be written as a sum of positive squares in 5 ways, for example, as 17909824 + 104530176 = 4232^2 + 10224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38470 + ... + 41530.

Almost surely, 2122440000 is an apocalyptic number.

122440000 is a gapful number since it is divisible by the number (10) 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 122440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151855297).

122440000 is an abundant number, since it is smaller than the sum of its proper divisors (181270594).

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

122440000 is an frugal number, since it uses more digits than its factorization.

122440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 122440000 is about 11065.2609548984. The cubic root of 122440000 is about 496.5630961813.

Adding to 122440000 its reverse (44221), we get a palindrome (122484221).

The spelling of 122440000 in words is "one hundred twenty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3061 4000 5000 6122 8000 10000 12244 15305 20000 24488 30610 40000 48976 61220 76525 97952 122440 153050 195904 244880 306100 382625 489760 612200 765250 979520 1224400 1530500 1913125 2448800 3061000 3826250 4897600 6122000 7652500 12244000 15305000 24488000 30610000 61220000 122440000