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2274338464281 = 32132386692
BaseRepresentation
bin100001000110001001001…
…000101110001000011001
322001102110120001210111100
4201012021020232020121
5244230321121324111
64500452222222013
7323213140655442
oct41061110561031
98042416053440
102274338464281
117a75a5853524
12308947424909
13136613a96c00
147c1158442c9
153e262893756
hex2118922e219

2274338464281 has 27 divisors (see below), whose sum is σ = 3557390619549. Its totient is φ = 1399556706912.

The previous prime is 2274338464273. The next prime is 2274338464283. The reversal of 2274338464281 is 1824648334722.

The square root of 2274338464281 is 1508091.

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

2274338464281 is a `hidden beast` number, since 2 + 2 + 74 + 3 + 38 + 464 + 2 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1153314905625 + 1121023558656 = 1073925^2 + 1058784^2 .

It is not a de Polignac number, because 2274338464281 - 23 = 2274338464273 is a prime.

It is a super-2 number, since 2×22743384642812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2274338464283) 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, 58796215 + ... + 58834883.

Almost surely, 22274338464281 is an apocalyptic number.

2274338464281 is the 1508091-st square number.

2274338464281 is the 754046-th centered octagonal number.

It is an amenable number.

2274338464281 is a deficient number, since it is larger than the sum of its proper divisors (1283052155268).

2274338464281 is an frugal number, since it uses more digits than its factorization.

2274338464281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77370 (or 38685 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 2274338464281 in words is "two trillion, two hundred seventy-four billion, three hundred thirty-eight million, four hundred sixty-four thousand, two hundred eighty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 38669 116007 348021 502697 1508091 4524273 6535061 19605183 58815549 1495291561 4485874683 13457624049 19438790293 58316370879 174949112637 252704273809 758112821427 2274338464281