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122433240 = 23351139029
BaseRepresentation
bin1110100110000…
…10111011011000
322112101020211110
413103002323120
5222320330430
620052100320
73014444136
oct723027330
9275336743
10122433240
11631239a6
12350046a0
131c499607
1412390756
15ab367b0
hex74c2ed8

122433240 has 64 divisors (see below), whose sum is σ = 370591200. Its totient is φ = 32356352.

The previous prime is 122433221. The next prime is 122433263. The reversal of 122433240 is 42334221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9046 + ... + 18074.

Almost surely, 2122433240 is an apocalyptic number.

122433240 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 122433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185295600).

122433240 is an abundant number, since it is smaller than the sum of its proper divisors (248157960).

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

122433240 is a wasteful number, since it uses less digits than its factorization.

122433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 122433240 is about 11064.9554901952. The cubic root of 122433240 is about 496.5539574785.

Adding to 122433240 its reverse (42334221), we get a palindrome (164767461).

The spelling of 122433240 in words is "one hundred twenty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 9029 13560 18058 27087 36116 45145 54174 72232 90290 108348 135435 180580 216696 270870 361160 541740 1020277 1083480 2040554 3060831 4081108 5101385 6121662 8162216 10202770 12243324 15304155 20405540 24486648 30608310 40811080 61216620 122433240