Search a number
-
+
1224442872 = 233329474159
BaseRepresentation
bin100100011111011…
…1000001111111000
310011100000010212000
41020332320033320
510001424132442
6321300021000
742225410202
oct11076701770
93140003760
101224442872
11579191064
122a2091760
131668a1c13
14b8893772
1572767d4c
hex48fb83f8

1224442872 has 128 divisors (see below), whose sum is σ = 3594240000. Its totient is φ = 385596288.

The previous prime is 1224442853. The next prime is 1224442903. The reversal of 1224442872 is 2782444221.

1224442872 is a `hidden beast` number, since 1 + 224 + 4 + 428 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 292329 + ... + 296487.

It is an arithmetic number, because the mean of its divisors is an integer number (28080000).

Almost surely, 21224442872 is an apocalyptic number.

1224442872 is a gapful number since it is divisible by the number (12) 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 1224442872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797120000).

1224442872 is an abundant number, since it is smaller than the sum of its proper divisors (2369797128).

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

1224442872 is a wasteful number, since it uses less digits than its factorization.

1224442872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4240 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 1224442872 is about 34992.0401234338. The cubic root of 1224442872 is about 1069.8252464482.

It can be divided in two parts, 122444 and 2872, that added together give a square (125316 = 3542).

The spelling of 1224442872 in words is "one billion, two hundred twenty-four million, four hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 47 54 58 72 87 94 108 116 141 174 188 216 232 261 282 348 376 423 522 564 696 783 846 1044 1128 1269 1363 1566 1692 2088 2538 2726 3132 3384 4089 4159 5076 5452 6264 8178 8318 10152 10904 12267 12477 16356 16636 24534 24954 32712 33272 36801 37431 49068 49908 73602 74862 98136 99816 112293 120611 147204 149724 195473 224586 241222 294408 299448 361833 390946 449172 482444 586419 723666 781892 898344 964888 1085499 1172838 1447332 1563784 1759257 2170998 2345676 2894664 3256497 3518514 4341996 4691352 5277771 5668717 6512994 7037028 8683992 10555542 11337434 13025988 14074056 17006151 21111084 22674868 26051976 34012302 42222168 45349736 51018453 68024604 102036906 136049208 153055359 204073812 306110718 408147624 612221436 1224442872