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247214430 = 23452391277
BaseRepresentation
bin11101011110000…
…11000101011110
3122020011210110000
432233003011132
51001241330210
640310355130
76061200531
oct1657030536
9566153400
10247214430
11117600951
126a95baa6
133c2a8838
1424b92a18
1516a83ac0
hexebc315e

247214430 has 80 divisors (see below), whose sum is σ = 668036160. Its totient is φ = 65596608.

The previous prime is 247214417. The next prime is 247214437. The reversal of 247214430 is 34412742.

It is a super-2 number, since 2×2472144302 = 122229948800449800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 247214394 and 247214403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247214437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192952 + ... + 194228.

It is an arithmetic number, because the mean of its divisors is an integer number (8350452).

Almost surely, 2247214430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247214430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334018080).

247214430 is an abundant number, since it is smaller than the sum of its proper divisors (420821730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247214430 is a wasteful number, since it uses less digits than its factorization.

247214430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 247214430 is about 15723.0540926373. The cubic root of 247214430 is about 627.6120485825.

The spelling of 247214430 in words is "two hundred forty-seven million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 239 270 405 478 717 810 1195 1277 1434 2151 2390 2554 3585 3831 4302 6385 6453 7170 7662 10755 11493 12770 12906 19155 19359 21510 22986 32265 34479 38310 38718 57465 64530 68958 96795 103437 114930 172395 193590 206874 305203 344790 517185 610406 915609 1034370 1526015 1831218 2746827 3052030 4578045 5493654 8240481 9156090 13734135 16480962 24721443 27468270 41202405 49442886 82404810 123607215 247214430