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232122240 = 27335719101
BaseRepresentation
bin11011101010111…
…10011110000000
3121011210000212000
431311132132000
5433410402430
635011104000
75516002140
oct1565363600
9534700760
10232122240
1110a032969
12658a2000
133912324c
1422b84920
15155a1e60
hexdd5e780

232122240 has 512 divisors, whose sum is σ = 998784000. Its totient is φ = 49766400.

The previous prime is 232122239. The next prime is 232122257. The reversal of 232122240 is 42221232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298190 + ... + 2298290.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2232122240 is an apocalyptic number.

232122240 is a gapful number since it is divisible by the number (20) 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 232122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499392000).

232122240 is an abundant number, since it is smaller than the sum of its proper divisors (766661760).

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

232122240 is a wasteful number, since it uses less digits than its factorization.

232122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232122240 is about 15235.5584078825. The cubic root of 232122240 is about 614.5712657313.

Adding to 232122240 its reverse (42221232), we get a palindrome (274343472).

It can be divided in two parts, 23212 and 2240, that added together give a palindrome (25452).

The spelling of 232122240 in words is "two hundred thirty-two million, one hundred twenty-two thousand, two hundred forty".