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390583228 = 227171922273
BaseRepresentation
bin10111010001111…
…101001110111100
31000012221200110111
4113101331032330
51244442130403
6102431315404
712451621420
oct2721751674
91005850414
10390583228
11190523a62
12aa97bb64
1362bc5349
1439c32b80
152445356d
hex1747d3bc

390583228 has 72 divisors (see below), whose sum is σ = 873325152. Its totient is φ = 149188608.

The previous prime is 390583213. The next prime is 390583231. The reversal of 390583228 is 822385093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170700 + ... + 172972.

It is an arithmetic number, because the mean of its divisors is an integer number (12129516).

Almost surely, 2390583228 is an apocalyptic number.

390583228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390583228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436662576).

390583228 is an abundant number, since it is smaller than the sum of its proper divisors (482741924).

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

390583228 is a wasteful number, since it uses less digits than its factorization.

390583228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 390583228 is about 19763.1785905001. The cubic root of 390583228 is about 730.9783766496.

The spelling of 390583228 in words is "three hundred ninety million, five hundred eighty-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 361 476 532 646 722 1292 1444 2261 2273 2527 4522 4546 5054 6137 9044 9092 10108 12274 15911 24548 31822 38641 42959 43187 63644 77282 85918 86374 154564 171836 172748 270487 302309 540974 604618 734179 820553 1081948 1209236 1468358 1641106 2936716 3282212 5139253 5743871 10278506 11487742 13949401 20557012 22975484 27898802 55797604 97645807 195291614 390583228