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22345400242331 = 2953193283266177
BaseRepresentation
bin1010001010010101100011…
…01001001101000010011011
32221010012101100210122200122
411011022301221031002123
510412101334430223311
6115305200221023455
74464254564112005
oct505126151150233
987105340718618
1022345400242331
1171356a3991151
12260a8313b4b8b
13c6121548280a
14573747707375
1528b3c61710db
hex1452b1a4d09b

22345400242331 has 32 divisors (see below), whose sum is σ = 23757855802560. Its totient is φ = 20983629348864.

The previous prime is 22345400242271. The next prime is 22345400242391. The reversal of 22345400242331 is 13324200454322.

It is an interprime number because it is at equal distance from previous prime (22345400242271) and next prime (22345400242391).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22345400242331 is a prime.

It is a super-2 number, since 2×223454002423312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22345400242291 and 22345400242300.

It is not an unprimeable number, because it can be changed into a prime (22345400242391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83816315 + ... + 84082491.

It is an arithmetic number, because the mean of its divisors is an integer number (742432993830).

Almost surely, 222345400242331 is an apocalyptic number.

22345400242331 is a deficient number, since it is larger than the sum of its proper divisors (1412455560229).

22345400242331 is a wasteful number, since it uses less digits than its factorization.

22345400242331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266735.

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 22345400242331 its reverse (13324200454322), we get a palindrome (35669600696653).

The spelling of 22345400242331 in words is "twenty-two trillion, three hundred forty-five billion, four hundred million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 29 53 193 283 1537 5597 8207 10229 14999 54619 266177 296641 434971 1583951 2894807 7719133 14107381 51372161 75328091 83949403 409114049 1489792669 2184514639 2722724533 3992388823 14538321563 78959011457 115779275867 421611325327 770531042839 22345400242331