Search a number
-
+
22514231152381 is a prime number
BaseRepresentation
bin1010001111010000000001…
…10000000000111011111101
32221201100011110221111220011
411013220000300000323331
510422333121133334011
6115514521153223221
74512412431140443
oct507500060007375
987640143844804
1022514231152381
1171a02605a4781
1226374aa561b11
13c741101486a7
1457b9a1db8b93
152909a8039621
hex147a00c00efd

22514231152381 has 2 divisors, whose sum is σ = 22514231152382. Its totient is φ = 22514231152380.

The previous prime is 22514231152349. The next prime is 22514231152459. The reversal of 22514231152381 is 18325113241522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22006503649881 + 507727502500 = 4691109^2 + 712550^2 .

It is a cyclic number.

It is not a de Polignac number, because 22514231152381 - 25 = 22514231152349 is a prime.

It is a super-2 number, since 2×225142311523812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22514231152781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11257115576190 + 11257115576191.

It is an arithmetic number, because the mean of its divisors is an integer number (11257115576191).

Almost surely, 222514231152381 is an apocalyptic number.

It is an amenable number.

22514231152381 is a deficient number, since it is larger than the sum of its proper divisors (1).

22514231152381 is an equidigital number, since it uses as much as digits as its factorization.

22514231152381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 115200, while the sum is 40.

The spelling of 22514231152381 in words is "twenty-two trillion, five hundred fourteen billion, two hundred thirty-one million, one hundred fifty-two thousand, three hundred eighty-one".