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228657068761 = 11229214992
BaseRepresentation
bin1101010011110100000…
…1011111101011011001
3210212012111121121112111
43110331001133223121
512221242202200021
6253013230312321
722343223005302
oct3247501375331
9725174547474
10228657068761
1188a77a55100
12383949586a1
13187403c74b4
14b0d20317a9
155e3422c8e1
hex353d05fad9

228657068761 has 27 divisors (see below), whose sum is σ = 260473101343. Its totient is φ = 200568238640.

The previous prime is 228657068747. The next prime is 228657068767. The reversal of 228657068761 is 167860756822.

It is a happy number.

The square root of 228657068761 is 478181.

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

It can be written as a sum of positive squares in only one way, i.e., 119902220361 + 108754848400 = 346269^2 + 329780^2 .

It is not a de Polignac number, because 228657068761 - 221 = 228654971609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228657068696 and 228657068705.

It is not an unprimeable number, because it can be changed into a prime (228657068767) 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, 152538990 + ... + 152540488.

Almost surely, 2228657068761 is an apocalyptic number.

228657068761 is the 478181-st square number.

228657068761 is the 239091-st centered octagonal number.

It is an amenable number.

228657068761 is a deficient number, since it is larger than the sum of its proper divisors (31816032582).

228657068761 is an frugal number, since it uses more digits than its factorization.

228657068761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 228657068761 in words is "two hundred twenty-eight billion, six hundred fifty-seven million, sixty-eight thousand, seven hundred sixty-one".

Divisors: 1 11 29 121 319 841 1499 3509 9251 16489 43471 101761 181379 478181 1260659 2247001 5259991 13867249 24717011 65163029 152539739 271887121 716793319 1889727841 7884726509 20787006251 228657068761