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2241352148 = 2271789191277
BaseRepresentation
bin1000010110011000…
…0101000111010100
312210012111111010112
42011212011013110
514042241232043
61010223542152
7106354115240
oct20546050724
95705444115
102241352148
11a50204052
1252675a958
1329947c799
14173963420
15d1b89518
hex859851d4

2241352148 has 96 divisors (see below), whose sum is σ = 4842270720. Its totient is φ = 886026240.

The previous prime is 2241352147. The next prime is 2241352153. The reversal of 2241352148 is 8412531422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241352147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8091386 + ... + 8091662.

It is an arithmetic number, because the mean of its divisors is an integer number (50440320).

Almost surely, 22241352148 is an apocalyptic number.

2241352148 is a gapful number since it is divisible by the number (28) 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 2241352148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421135360).

2241352148 is an abundant number, since it is smaller than the sum of its proper divisors (2600918572).

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

2241352148 is a wasteful number, since it uses less digits than its factorization.

2241352148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 2241352148 is about 47342.9207801969. The cubic root of 2241352148 is about 1308.6897428916.

The spelling of 2241352148 in words is "two billion, two hundred forty-one million, three hundred fifty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 89 119 178 191 238 277 356 382 476 554 623 764 1108 1246 1337 1513 1939 2492 2674 3026 3247 3878 4709 5348 6052 6494 7756 9418 10591 12988 16999 18836 21182 22729 24653 32963 33998 42364 45458 49306 52907 65926 67996 90916 98612 105814 118993 131852 172571 211628 237986 288983 345142 370349 419101 475972 577966 690284 740698 838202 899419 1155932 1481396 1676404 1798838 2022881 2933707 3597676 4045762 4708723 5867414 6295933 8091524 9417446 11734828 12591866 18834892 25183732 32961061 65922122 80048291 131844244 160096582 320193164 560338037 1120676074 2241352148