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2246097870 = 2335311272113
BaseRepresentation
bin1000010111100000…
…1011101111001110
312210112102121001000
42011320023233032
514100000112440
61010513401130
7106442342202
oct20570135716
95715377030
102246097870
11a52955635
125282691a6
1329a4518c3
1417443ab02
15d22c5730
hex85e0bbce

2246097870 has 128 divisors (see below), whose sum is σ = 6234439680. Its totient is φ = 574801920.

The previous prime is 2246097853. The next prime is 2246097877. The reversal of 2246097870 is 787906422.

2246097870 is a `hidden beast` number, since 22 + 460 + 97 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246097877) by changing a digit.

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, 1061934 + ... + 1064046.

It is an arithmetic number, because the mean of its divisors is an integer number (48706560).

Almost surely, 22246097870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246097870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117219840).

2246097870 is an abundant number, since it is smaller than the sum of its proper divisors (3988341810).

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

2246097870 is a wasteful number, since it uses less digits than its factorization.

2246097870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2246097870 is about 47393.0149916631. The cubic root of 2246097870 is about 1309.6127422026.

The spelling of 2246097870 in words is "two billion, two hundred forty-six million, ninety-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 127 135 155 186 254 270 279 310 381 465 558 635 762 837 930 1143 1270 1395 1674 1905 2113 2286 2790 3429 3810 3937 4185 4226 5715 6339 6858 7874 8370 10565 11430 11811 12678 17145 19017 19685 21130 23622 31695 34290 35433 38034 39370 57051 59055 63390 65503 70866 95085 106299 114102 118110 131006 177165 190170 196509 212598 268351 285255 327515 354330 393018 531495 536702 570510 589527 655030 805053 982545 1062990 1179054 1341755 1610106 1768581 1965090 2415159 2683510 2947635 3537162 4025265 4830318 5895270 7245477 8050530 8318881 8842905 12075795 14490954 16637762 17685810 24151590 24956643 36227385 41594405 49913286 72454770 74869929 83188810 124783215 149739858 224609787 249566430 374349645 449219574 748699290 1123048935 2246097870