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2246233620 = 223589547769
BaseRepresentation
bin1000010111100010…
…1100111000010100
312210112200111020210
42011320230320110
514100013433440
61010520325420
7106443446031
oct20570547024
95715614223
102246233620
11a52a38624
12528313870
1329a49b627
14174474388
15d2300a80
hex85e2ce14

2246233620 has 96 divisors (see below), whose sum is σ = 6380035200. Its totient is φ = 590413824.

The previous prime is 2246233607. The next prime is 2246233631. The reversal of 2246233620 is 263326422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920596 + ... + 2921364.

It is an arithmetic number, because the mean of its divisors is an integer number (66458700).

Almost surely, 22246233620 is an apocalyptic number.

2246233620 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 2246233620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190017600).

2246233620 is an abundant number, since it is smaller than the sum of its proper divisors (4133801580).

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

2246233620 is a wasteful number, since it uses less digits than its factorization.

2246233620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2246233620 is about 47394.4471430989. The cubic root of 2246233620 is about 1309.6391251948.

The spelling of 2246233620 in words is "two billion, two hundred forty-six million, two hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 547 769 890 1068 1094 1335 1538 1641 1780 2188 2307 2670 2735 3076 3282 3845 4614 5340 5470 6564 7690 8205 9228 10940 11535 15380 16410 23070 32820 46140 48683 68441 97366 136882 146049 194732 205323 243415 273764 292098 342205 410646 420643 486830 584196 684410 730245 821292 841286 973660 1026615 1261929 1368820 1460490 1682572 2053230 2103215 2523858 2920980 4106460 4206430 5047716 6309645 8412860 12619290 25238580 37437227 74874454 112311681 149748908 187186135 224623362 374372270 449246724 561558405 748744540 1123116810 2246233620