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2241214024 = 2372337131359
BaseRepresentation
bin1000010110010110…
…0011011001001000
312210012020110122211
42011211203121020
514042222322044
61010220554504
7106353001450
oct20545433110
95705213584
102241214024
11a5011a2a5
125266b2a34
1329943195a
14173928d60
15d1b5d634
hex85963648

2241214024 has 128 divisors (see below), whose sum is σ = 5200588800. Its totient is φ = 884632320.

The previous prime is 2241214009. The next prime is 2241214043. The reversal of 2241214024 is 4204121422.

It is a junction number, because it is equal to n+sod(n) for n = 2241213986 and 2241214004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6242757 + ... + 6243115.

It is an arithmetic number, because the mean of its divisors is an integer number (40629600).

Almost surely, 22241214024 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 2241214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

2241214024 is an abundant number, since it is smaller than the sum of its proper divisors (2959374776).

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

2241214024 is a wasteful number, since it uses less digits than its factorization.

2241214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2241214024 is about 47341.4619968585. The cubic root of 2241214024 is about 1308.6628595397.

Adding to 2241214024 its reverse (4204121422), we get a palindrome (6445335446).

The spelling of 2241214024 in words is "two billion, two hundred forty-one million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 92 131 148 161 184 259 262 296 322 359 518 524 644 718 851 917 1036 1048 1288 1436 1702 1834 2072 2513 2872 3013 3404 3668 4847 5026 5957 6026 6808 7336 8257 9694 10052 11914 12052 13283 16514 19388 20104 21091 23828 24104 26566 33028 33929 38776 42182 47029 47656 53132 57799 66056 67858 84364 92981 94058 106264 111481 115598 135716 168728 185962 188116 222962 231196 271432 305509 329203 371924 376232 445924 462392 611018 658406 743848 780367 891848 1081667 1222036 1316812 1560734 1740073 2138563 2163334 2444072 2633624 3121468 3480146 4277126 4326668 6242936 6960292 7571669 8554252 8653336 12180511 13920584 15143338 17108504 24361022 30286676 40021679 48722044 60573352 80043358 97444088 160086716 280151753 320173432 560303506 1120607012 2241214024