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2246051680 = 255314310531
BaseRepresentation
bin1000010111100000…
…0000011101100000
312210112100020200021
42011320000131200
514044442123210
61010512403224
7106442060425
oct20570003540
95715306607
102246051680
11a52923964
12528246514
1329a436882
14174427d4c
15d22b6bda
hex85e00760

2246051680 has 96 divisors (see below), whose sum is σ = 5605383168. Its totient is φ = 849139200.

The previous prime is 2246051677. The next prime is 2246051699. The reversal of 2246051680 is 861506422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208015 + ... + 218545.

It is an arithmetic number, because the mean of its divisors is an integer number (58389408).

Almost surely, 22246051680 is an apocalyptic number.

2246051680 is a gapful number since it is divisible by the number (20) 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 2246051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802691584).

2246051680 is an abundant number, since it is smaller than the sum of its proper divisors (3359331488).

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

2246051680 is a wasteful number, since it uses less digits than its factorization.

2246051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2246051680 is about 47392.5276810596. The cubic root of 2246051680 is about 1309.6037649406.

The spelling of 2246051680 in words is "two billion, two hundred forty-six million, fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 496 620 688 860 992 1240 1333 1376 1720 2480 2666 3440 4960 5332 6665 6880 10531 10664 13330 21062 21328 26660 42124 42656 52655 53320 84248 105310 106640 168496 210620 213280 326461 336992 421240 452833 652922 842480 905666 1305844 1632305 1684960 1811332 2264165 2611688 3264610 3622664 4528330 5223376 6529220 7245328 9056660 10446752 13058440 14037823 14490656 18113320 26116880 28075646 36226640 52233760 56151292 70189115 72453280 112302584 140378230 224605168 280756460 449210336 561512920 1123025840 2246051680