Search a number
-
+
80290224 = 2433723793
BaseRepresentation
bin1001100100100…
…10000110110000
312121002011111000
410302102012300
5131023241344
611544522000
71663312200
oct462220660
9177064430
1080290224
114135a263
1222a80300
1313832511
14a940400
1570aea69
hex4c921b0

80290224 has 120 divisors (see below), whose sum is σ = 268159920. Its totient is φ = 22934016.

The previous prime is 80290157. The next prime is 80290267. The reversal of 80290224 is 42209208.

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

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, 19272 + ... + 23064.

It is an arithmetic number, because the mean of its divisors is an integer number (2234666).

Almost surely, 280290224 is an apocalyptic number.

80290224 is a gapful number since it is divisible by the number (84) 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 80290224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134079960).

80290224 is an abundant number, since it is smaller than the sum of its proper divisors (187869696).

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

80290224 is a wasteful number, since it uses less digits than its factorization.

80290224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80290224 is about 8960.4812370765. The cubic root of 80290224 is about 431.4073663874.

The spelling of 80290224 in words is "eighty million, two hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 3793 5292 7056 7586 10584 11379 15172 21168 22758 26551 30344 34137 45516 53102 60688 68274 79653 91032 102411 106204 136548 159306 182064 185857 204822 212408 238959 273096 318612 371714 409644 424816 477918 546192 557571 637224 716877 743428 819288 955836 1115142 1274448 1433754 1486856 1638576 1672713 1911672 2230284 2867508 2973712 3345426 3823344 4460568 5018139 5735016 6690852 8921136 10036278 11470032 13381704 20072556 26763408 40145112 80290224