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226156362481 = 7241216572
BaseRepresentation
bin1101001010011111111…
…0000011101011110001
3210121202020002120102101
43102213332003223301
512201132012044411
6251521135420401
722224236235400
oct3224776035361
9717666076371
10226156362481
1187a044094a5
12379b7384701
13184322ab73a
14ad35c79637
155d399128c1
hex34a7f83af1

226156362481 has 27 divisors (see below), whose sum is σ = 269815767777. Its totient is φ = 189006168960.

The previous prime is 226156362469. The next prime is 226156362491. The reversal of 226156362481 is 184263651622.

It is a happy number.

The square root of 226156362481 is 475559.

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

It can be written as a sum of positive squares in 4 ways, for example, as 105063498225 + 121092864256 = 324135^2 + 347984^2 .

It is not a de Polignac number, because 226156362481 - 215 = 226156329713 is a prime.

It is a super-2 number, since 2×2261563624812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226156362431) 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, 136484605 + ... + 136486261.

Almost surely, 2226156362481 is an apocalyptic number.

226156362481 is the 475559-th square number.

226156362481 is the 237780-th centered octagonal number.

It is an amenable number.

226156362481 is a deficient number, since it is larger than the sum of its proper divisors (43659405296).

226156362481 is an frugal number, since it uses more digits than its factorization.

226156362481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 1705 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The spelling of 226156362481 in words is "two hundred twenty-six billion, one hundred fifty-six million, three hundred sixty-two thousand, four hundred eighty-one".

Divisors: 1 7 41 49 287 1657 1681 2009 11599 11767 67937 81193 82369 475559 2745649 2785417 3328913 19219543 19497919 112571609 134536801 136485433 788001263 4615435969 5516008841 32308051783 226156362481