Search a number
-
+
1001233224 = 23341797937
BaseRepresentation
bin111011101011011…
…001101101001000
32120202222220210000
4323223121231020
54022303430344
6243203523000
733545225205
oct7353315510
92522886700
101001233224
11474196382
1223b389460
1312c57c5c4
1496d8ccac
155cd76a69
hex3bad9b48

1001233224 has 160 divisors (see below), whose sum is σ = 3003157080. Its totient is φ = 310542336.

The previous prime is 1001233201. The next prime is 1001233231. The reversal of 1001233224 is 4223321001.

It can be written as a sum of positive squares in 4 ways, for example, as 729972324 + 271260900 = 27018^2 + 16470^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001233197 and 1001233206.

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 39 ways as a sum of consecutive naturals, for example, 1068084 + ... + 1069020.

Almost surely, 21001233224 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 1001233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501578540).

1001233224 is an abundant number, since it is smaller than the sum of its proper divisors (2001923856).

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

1001233224 is a wasteful number, since it uses less digits than its factorization.

1001233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1001233224 is about 31642.2695772601. The cubic root of 1001233224 is about 1000.4109058000.

Adding to 1001233224 its reverse (4223321001), we get a palindrome (5224554225).

The spelling of 1001233224 in words is "one billion, one million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 97 102 108 136 153 162 194 204 216 291 306 324 388 408 459 582 612 648 776 873 918 937 1164 1224 1377 1649 1746 1836 1874 2328 2619 2754 2811 3298 3492 3672 3748 4947 5238 5508 5622 6596 6984 7496 7857 8433 9894 10476 11016 11244 13192 14841 15714 15929 16866 19788 20952 22488 25299 29682 31428 31858 33732 39576 44523 47787 50598 59364 62856 63716 67464 75897 89046 90889 95574 101196 118728 127432 133569 143361 151794 178092 181778 191148 202392 267138 272667 286722 303588 356184 363556 382296 430083 534276 545334 573444 607176 727112 818001 860166 1068552 1090668 1146888 1290249 1545113 1636002 1720332 2181336 2454003 2580498 3090226 3272004 3440664 4635339 4908006 5160996 6180452 6544008 7362009 9270678 9816012 10321992 12360904 13906017 14724018 18541356 19632024 27812034 29448036 37082712 41718051 55624068 58896072 83436102 111248136 125154153 166872204 250308306 333744408 500616612 1001233224