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2245033206 = 2331331711453
BaseRepresentation
bin1000010111010000…
…0111110011110110
312210110102111121000
42011310013303312
514044212030311
61010434504130
7106430316213
oct20564076366
95713374530
102245033206
11a52298749
12527a35046
1329a16b120
14174240b0a
15d2165056
hex85d07cf6

2245033206 has 128 divisors (see below), whose sum is σ = 5628026880. Its totient is φ = 658627200.

The previous prime is 2245033171. The next prime is 2245033261. The reversal of 2245033206 is 6023305422.

2245033206 is a `hidden beast` number, since 2 + 2 + 450 + 3 + 3 + 206 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2245033206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1544376 + ... + 1545828.

It is an arithmetic number, because the mean of its divisors is an integer number (43968960).

Almost surely, 22245033206 is an apocalyptic number.

2245033206 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245033206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814013440).

2245033206 is an abundant number, since it is smaller than the sum of its proper divisors (3382993674).

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

2245033206 is a wasteful number, since it uses less digits than its factorization.

2245033206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2245033206 is about 47381.7813721688. The cubic root of 2245033206 is about 1309.4057880416.

Adding to 2245033206 its reverse (6023305422), we get a palindrome (8268338628).

The spelling of 2245033206 in words is "two billion, two hundred forty-five million, thirty-three thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 71 78 93 117 142 186 213 234 279 351 403 426 558 639 702 806 837 923 1209 1278 1453 1674 1846 1917 2201 2418 2769 2906 3627 3834 4359 4402 5538 6603 7254 8307 8718 10881 13077 13206 16614 18889 19809 21762 24921 26154 28613 37778 39231 39618 45043 49842 56667 57226 59427 78462 85839 90086 103163 113334 118854 135129 170001 171678 206326 257517 270258 309489 340002 405387 510003 515034 585559 618978 772551 810774 928467 1020006 1171118 1216161 1341119 1545102 1756677 1856934 2432322 2682238 2785401 3198053 3513354 4023357 5270031 5570802 6396106 8046714 9594159 10540062 12070071 15810093 19188318 24140142 28782477 31620186 36210213 41574689 57564954 72420426 83149378 86347431 124724067 172694862 249448134 374172201 748344402 1122516603 2245033206