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232540121223438 = 237219375371298993
BaseRepresentation
bin110100110111111001110111…
…010100100101000100001110
31010111100121200212112201001120
4310313321313110211010032
5220434414132013122223
62142323242410021410
766660316661120400
oct6467716724450416
91114317625481046
10232540121223438
1168104791138686
12220b7a00117866
139c9a5932c7552
14415d0053a8b70
151bd3d7ee08be3
hexd37e7752510e

232540121223438 has 384 divisors, whose sum is σ = 604308111252480. Its totient is φ = 59240026460160.

The previous prime is 232540121223433. The next prime is 232540121223467. The reversal of 232540121223438 is 834322121045232.

It is a super-2 number, since 2×2325401212234382 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 232540121223438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232540121223433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777594870 + ... + 777893862.

It is an arithmetic number, because the mean of its divisors is an integer number (1573719039720).

Almost surely, 2232540121223438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232540121223438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302154055626240).

232540121223438 is an abundant number, since it is smaller than the sum of its proper divisors (371767990029042).

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

232540121223438 is a wasteful number, since it uses less digits than its factorization.

232540121223438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299192 (or 299185 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 232540121223438 in words is "two hundred thirty-two trillion, five hundred forty billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred thirty-eight".