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2290455630 = 23454365761
BaseRepresentation
bin1000100010000101…
…1001010001001110
312220121220012110000
42020201121101032
514142324040010
61015140225130
7110521360131
oct21041312116
95817805400
102290455630
11a759a2241
1253b09b1a6
132a66b2ab8
1417a2a6218
15d61387c0
hex8885944e

2290455630 has 80 divisors (see below), whose sum is σ = 6302103984. Its totient is φ = 596574720.

The previous prime is 2290455619. The next prime is 2290455649. The reversal of 2290455630 is 365540922.

2290455630 is a `hidden beast` number, since 2 + 2 + 90 + 4 + 5 + 563 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1950 + ... + 67710.

Almost surely, 22290455630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290455630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151051992).

2290455630 is an abundant number, since it is smaller than the sum of its proper divisors (4011648354).

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

2290455630 is a wasteful number, since it uses less digits than its factorization.

2290455630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65823 (or 65814 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2290455630 is about 47858.7048508419. The cubic root of 2290455630 is about 1318.1777023660.

The spelling of 2290455630 in words is "two billion, two hundred ninety million, four hundred fifty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1935 2322 3483 3870 5805 6966 11610 17415 34830 65761 131522 197283 328805 394566 591849 657610 986415 1183698 1775547 1972830 2827723 2959245 3551094 5326641 5655446 5918490 8483169 8877735 10653282 14138615 16966338 17755470 25449507 26633205 28277230 42415845 50899014 53266410 76348521 84831690 127247535 152697042 229045563 254495070 381742605 458091126 763485210 1145227815 2290455630