Search a number
-
+
2230402392 = 233453101643
BaseRepresentation
bin1000010011110001…
…0011110101011000
312202102220011220000
42010330103311120
514031440334032
61005153133000
7106162051611
oct20474236530
95672804800
102230402392
11a45005369
12522b5a160
1329711783a
14172312c08
15d0c24e7c
hex84f13d58

2230402392 has 160 divisors (see below), whose sum is σ = 6438080880. Its totient is φ = 721094400.

The previous prime is 2230402387. The next prime is 2230402393. The reversal of 2230402392 is 2932040322.

2230402392 is a `hidden beast` number, since 2 + 230 + 40 + 2 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230402393) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3468423 + ... + 3469065.

Almost surely, 22230402392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230402392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219040440).

2230402392 is an abundant number, since it is smaller than the sum of its proper divisors (4207678488).

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

2230402392 is a wasteful number, since it uses less digits than its factorization.

2230402392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2230402392 is about 47227.1361824958. The cubic root of 2230402392 is about 1306.5551337654. Note that the first 3 decimals are identical.

The spelling of 2230402392 in words is "two billion, two hundred thirty million, four hundred two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 101 106 108 159 162 202 212 216 303 318 324 404 424 477 606 636 643 648 808 909 954 1212 1272 1286 1431 1818 1908 1929 2424 2572 2727 2862 3636 3816 3858 4293 5144 5353 5454 5724 5787 7272 7716 8181 8586 10706 10908 11448 11574 15432 16059 16362 17172 17361 21412 21816 23148 32118 32724 34079 34344 34722 42824 46296 48177 52083 64236 64943 65448 68158 69444 96354 102237 104166 128472 129886 136316 138888 144531 192708 194829 204474 208332 259772 272632 289062 306711 385416 389658 408948 416664 433593 519544 578124 584487 613422 779316 817896 867186 920133 1156248 1168974 1226844 1558632 1734372 1753461 1840266 2337948 2453688 2760399 3441979 3468744 3506922 3680532 4675896 5260383 5520798 6883958 7013844 7361064 10325937 10520766 11041596 13767916 14027688 20651874 21041532 22083192 27535832 30977811 41303748 42083064 61955622 82607496 92933433 123911244 185866866 247822488 278800299 371733732 557600598 743467464 1115201196 2230402392