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2244689664 = 28373113469
BaseRepresentation
bin1000010111001011…
…0011111100000000
312210102210001100020
42011302303330000
514044120032124
61010423253440
7106424355510
oct20562637400
95712701306
102244689664
11a52083628
125278aa280
1329a07a949
14174191840
15d20e8379
hex85cb3f00

2244689664 has 144 divisors (see below), whose sum is σ = 7048366080. Its totient is φ = 620605440.

The previous prime is 2244689663. The next prime is 2244689687. The reversal of 2244689664 is 4669864422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244689663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159922 + ... + 173390.

Almost surely, 22244689664 is an apocalyptic number.

2244689664 is a gapful number since it is divisible by the number (24) 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 2244689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524183040).

2244689664 is an abundant number, since it is smaller than the sum of its proper divisors (4803676416).

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

2244689664 is a wasteful number, since it uses less digits than its factorization.

2244689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13526 (or 13512 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The square root of 2244689664 is about 47378.1559793118. The cubic root of 2244689664 is about 1309.3389948454.

The spelling of 2244689664 in words is "two billion, two hundred forty-four million, six hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13469 13888 20832 23808 26938 27776 40407 41664 53876 55552 80814 83328 94283 107752 161628 166656 188566 215504 282849 323256 377132 417539 431008 565698 646512 754264 835078 862016 1131396 1252617 1293024 1508528 1670156 1724032 2262792 2505234 2586048 2922773 3017056 3340312 3448064 4525584 5010468 5172096 5845546 6034112 6680624 8768319 9051168 10020936 10344192 11691092 12068224 13361248 17536638 18102336 20041872 23382184 24136448 26722496 35073276 36204672 40083744 46764368 53444992 70146552 72409344 80167488 93528736 106889984 140293104 160334976 187057472 280586208 320669952 374114944 561172416 748229888 1122344832 2244689664