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2241626120 = 2351731432473
BaseRepresentation
bin1000010110011100…
…1000000000001000
312210020000101221122
42011213020000020
514042324013440
61010233454412
7106356336056
oct20547100010
95706011848
102241626120
11a50380978
12526871408
132995473b6
141739d51d6
15d1be07b5
hex859c8008

2241626120 has 128 divisors (see below), whose sum is σ = 5643095040. Its totient is φ = 797368320.

The previous prime is 2241626119. The next prime is 2241626197. The reversal of 2241626120 is 216261422.

It is a self number, because there is not a number n which added to its sum of digits gives 2241626120.

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, 905204 + ... + 907676.

It is an arithmetic number, because the mean of its divisors is an integer number (44086680).

Almost surely, 22241626120 is an apocalyptic number.

2241626120 is a gapful number since it is divisible by the number (20) 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 2241626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821547520).

2241626120 is an abundant number, since it is smaller than the sum of its proper divisors (3401468920).

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

2241626120 is a wasteful number, since it uses less digits than its factorization.

2241626120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2241626120 is about 47345.8141761233. The cubic root of 2241626120 is about 1308.7430633450.

Adding to 2241626120 its reverse (216261422), we get a palindrome (2457887542).

The spelling of 2241626120 in words is "two billion, two hundred forty-one million, six hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 43 62 68 85 86 124 136 155 170 172 215 248 310 340 344 430 527 620 680 731 860 1054 1240 1333 1462 1720 2108 2473 2635 2666 2924 3655 4216 4946 5270 5332 5848 6665 7310 9892 10540 10664 12365 13330 14620 19784 21080 22661 24730 26660 29240 42041 45322 49460 53320 76663 84082 90644 98920 106339 113305 153326 168164 181288 210205 212678 226610 306652 336328 383315 420410 425356 453220 531695 613304 766630 840820 850712 906440 1063390 1303271 1533260 1681640 1807763 2126780 2606542 3066520 3296509 3615526 4253560 5213084 6516355 6593018 7231052 9038815 10426168 13032710 13186036 14462104 16482545 18077630 26065420 26372072 32965090 36155260 52130840 56040653 65930180 72310520 112081306 131860360 224162612 280203265 448325224 560406530 1120813060 2241626120