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226040340969 = 321944392
BaseRepresentation
bin1101001010000100001…
…1011110000111101001
3210121110010210001211100
43102201003132013221
512200412311402334
6251501432552013
722221330124302
oct3224103360751
9717403701740
10226040340969
1187954974853
1237984552609
1318414248661
14ad246b77a9
155d2e645c99
hex34a10de1e9

226040340969 has 45 divisors (see below), whose sum is σ = 345428464173. Its totient is φ = 142437121704.

The previous prime is 226040340947. The next prime is 226040340997. The reversal of 226040340969 is 969043040622.

The square root of 226040340969 is 475437.

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

226040340969 is a `hidden beast` number, since 2 + 2 + 604 + 0 + 34 + 0 + 9 + 6 + 9 = 666.

It is not a de Polignac number, because 226040340969 - 221 = 226038243817 is a prime.

It is a super-2 number, since 2×2260403409692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226040340469) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 514898052 + ... + 514898490.

Almost surely, 2226040340969 is an apocalyptic number.

226040340969 is the 475437-th square number.

226040340969 is the 237719-th centered octagonal number.

It is an amenable number.

226040340969 is a deficient number, since it is larger than the sum of its proper divisors (119388123204).

226040340969 is an frugal number, since it uses more digits than its factorization.

226040340969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 226040 and 340969, that added together give a square (567009 = 7532).

The spelling of 226040340969 in words is "two hundred twenty-six billion, forty million, three hundred forty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 57 171 361 439 1083 1317 3249 3951 6859 8341 20577 25023 61731 75069 130321 158479 192721 390963 475437 578163 1172889 1426311 1734489 3011101 3661699 9033303 10985097 27099909 32955291 57210919 69572281 171632757 208716843 514898271 626150529 1321873339 3965620017 11896860051 25115593441 75346780323 226040340969