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2240141232 = 243731031321
BaseRepresentation
bin1000010110000101…
…1101011110110000
312210010012222001210
42011201131132300
514041434004412
61010142000120
7106340613000
oct20541353660
95703188053
102240141232
11a4a55729a
12526276040
13299147574
1417372a000
15d19ea83c
hex8585d7b0

2240141232 has 160 divisors (see below), whose sum is σ = 6819404800. Its totient is φ = 633346560.

The previous prime is 2240141227. The next prime is 2240141243. The reversal of 2240141232 is 2321410422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2240141199 and 2240141208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695132 + ... + 1696452.

It is an arithmetic number, because the mean of its divisors is an integer number (42621280).

Almost surely, 22240141232 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 2240141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409702400).

2240141232 is an abundant number, since it is smaller than the sum of its proper divisors (4579263568).

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

2240141232 is a wasteful number, since it uses less digits than its factorization.

2240141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2240141232 is about 47330.1302766008. The cubic root of 2240141232 is about 1308.4540222616.

Adding to 2240141232 its reverse (2321410422), we get a palindrome (4561551654).

The spelling of 2240141232 in words is "two billion, two hundred forty million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 103 112 147 168 196 206 294 309 336 343 392 412 588 618 686 721 784 824 1029 1176 1236 1321 1372 1442 1648 2058 2163 2352 2472 2642 2744 2884 3963 4116 4326 4944 5047 5284 5488 5768 7926 8232 8652 9247 10094 10568 11536 15141 15852 16464 17304 18494 20188 21136 27741 30282 31704 34608 35329 36988 40376 55482 60564 63408 64729 70658 73976 80752 105987 110964 121128 129458 136063 141316 147952 194187 211974 221928 242256 258916 272126 282632 388374 408189 423948 443856 453103 517832 544252 565264 776748 816378 847896 906206 952441 1035664 1088504 1359309 1553496 1632756 1695792 1812412 1904882 2177008 2718618 2857323 3106992 3265512 3624824 3809764 5437236 5714646 6531024 6667087 7249648 7619528 10874472 11429292 13334174 15239056 20001261 21748944 22858584 26668348 40002522 45717168 46669609 53336696 80005044 93339218 106673392 140008827 160010088 186678436 280017654 320020176 373356872 560035308 746713744 1120070616 2240141232