Search a number
-
+
122424440 = 23543109653
BaseRepresentation
bin1110100110000…
…00110001111000
322112100210202112
413103000301320
5222320040230
620051551452
73014406365
oct723006170
9275323675
10122424440
1163118326
1234bbb588
131c4955c8
141238b46c
15ab33d95
hex74c0c78

122424440 has 64 divisors (see below), whose sum is σ = 284882400. Its totient is φ = 47319552.

The previous prime is 122424439. The next prime is 122424443. The reversal of 122424440 is 44424221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187154 + ... + 187806.

Almost surely, 2122424440 is an apocalyptic number.

122424440 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 122424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142441200).

122424440 is an abundant number, since it is smaller than the sum of its proper divisors (162457960).

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

122424440 is a wasteful number, since it uses less digits than its factorization.

122424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 122424440 is about 11064.5578312014. The cubic root of 122424440 is about 496.5420604383.

Adding to 122424440 its reverse (44424221), we get a palindrome (166848661).

The spelling of 122424440 in words is "one hundred twenty-two million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 109 172 215 218 344 430 436 545 653 860 872 1090 1306 1720 2180 2612 3265 4360 4687 5224 6530 9374 13060 18748 23435 26120 28079 37496 46870 56158 71177 93740 112316 140395 142354 187480 224632 280790 284708 355885 561580 569416 711770 1123160 1423540 2847080 3060611 6121222 12242444 15303055 24484888 30606110 61212220 122424440