Search a number
-
+
720225450 = 232527239941
BaseRepresentation
bin101010111011011…
…100010010101010
31212012020020120200
4222323130102222
52433334203300
6155244533030
723563546440
oct5273342252
91765206520
10720225450
1133a60404a
12181251176
13b62a1309
146b920b90
154336a200
hex2aedc4aa

720225450 has 144 divisors (see below), whose sum is σ = 2307816576. Its totient is φ = 157449600.

The previous prime is 720225437. The next prime is 720225479. The reversal of 720225450 is 54522027.

720225450 is a `hidden beast` number, since 7 + 202 + 2 + 5 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67480 + ... + 77420.

It is an arithmetic number, because the mean of its divisors is an integer number (16026504).

Almost surely, 2720225450 is an apocalyptic number.

720225450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 720225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153908288).

720225450 is an abundant number, since it is smaller than the sum of its proper divisors (1587591126).

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

720225450 is a wasteful number, since it uses less digits than its factorization.

720225450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 720225450 is about 26837.0164139012. The cubic root of 720225450 is about 896.3744888730.

Adding to 720225450 its reverse (54522027), we get a palindrome (774747477).

The spelling of 720225450 in words is "seven hundred twenty million, two hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 50 63 69 70 75 90 105 115 126 138 150 161 175 207 210 225 230 315 322 345 350 414 450 483 525 575 630 690 805 966 1035 1050 1150 1449 1575 1610 1725 2070 2415 2898 3150 3450 4025 4830 5175 7245 8050 9941 10350 12075 14490 19882 24150 29823 36225 49705 59646 69587 72450 89469 99410 139174 149115 178938 208761 228643 248525 298230 347935 417522 447345 457286 497050 626283 685929 695870 745575 894690 1043805 1143215 1252566 1371858 1491150 1600501 1739675 2057787 2087610 2236725 2286430 3131415 3201002 3429645 3479350 4115574 4473450 4801503 5219025 5716075 6262830 6859290 8002505 9603006 10288935 10438050 11432150 14404509 15657075 16005010 17148225 20577870 24007515 28809018 31314150 34296450 40012525 48015030 51444675 72022545 80025050 102889350 120037575 144045090 240075150 360112725 720225450