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238701622041 = 32149210932
BaseRepresentation
bin1101111001001110111…
…0011011001100011001
3211211010112012210021100
43132103232123030121
512402330103401131
6301354044102013
723150151211221
oct3362356331431
9754115183240
10238701622041
119226192a703
123a318834909
13196813b3b4c
14b7a6071081
156320e8b7e6
hex3793b9b319

238701622041 has 27 divisors (see below), whose sum is σ = 347438673309. Its totient is φ = 157921781472.

The previous prime is 238701621989. The next prime is 238701622043. The reversal of 238701622041 is 140226107832.

It is a happy number.

The square root of 238701622041 is 488571.

It is a perfect power (a square), and thus also a powerful number.

238701622041 is a `hidden beast` number, since 2 + 387 + 0 + 16 + 220 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12224619225 + 226477002816 = 110565^2 + 475896^2 .

It is not a de Polignac number, because 238701622041 - 27 = 238701621913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238701621987 and 238701622005.

It is not an unprimeable number, because it can be changed into a prime (238701622043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218390691 + ... + 218391783.

Almost surely, 2238701622041 is an apocalyptic number.

238701622041 is the 488571-st square number.

238701622041 is the 244286-th centered octagonal number.

It is an amenable number.

238701622041 is a deficient number, since it is larger than the sum of its proper divisors (108737051268).

238701622041 is an frugal number, since it uses more digits than its factorization.

238701622041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 238701622041 by its sum of digits (36), we get a square (8593258393476 = 29314262).

Adding to 238701622041 its reverse (140226107832), we get a palindrome (378927729873).

The spelling of 238701622041 in words is "two hundred thirty-eight billion, seven hundred one million, six hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 149 447 1093 1341 3279 9837 22201 66603 162857 199809 488571 1194649 1465713 3583947 10751841 24265693 72797079 178002701 218391237 534008103 1602024309 26522402449 79567207347 238701622041