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2241013104 = 2432116172293
BaseRepresentation
bin1000010110010011…
…0010010101110000
312210011212021001100
42011210302111300
514042144404404
61010212404400
7106351203621
oct20544622560
95704767040
102241013104
11a4aaa2350
12526616700
13299391375
141738b5a48
15d1b1dd39
hex85932570

2241013104 has 120 divisors (see below), whose sum is σ = 6855958512. Its totient is φ = 677698560.

The previous prime is 2241013081. The next prime is 2241013111. The reversal of 2241013104 is 4013101422.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 976182 + ... + 978474.

Almost surely, 22241013104 is an apocalyptic number.

2241013104 is a gapful number since it is divisible by the number (24) 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 2241013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427979256).

2241013104 is an abundant number, since it is smaller than the sum of its proper divisors (4614945408).

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

2241013104 is a wasteful number, since it uses less digits than its factorization.

2241013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2241013104 is about 47339.3399193525. The cubic root of 2241013104 is about 1308.6237521041.

Adding to 2241013104 its reverse (4013101422), we get a palindrome (6254114526).

The spelling of 2241013104 in words is "two billion, two hundred forty-one million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 617 792 1234 1584 1851 2293 2468 3702 4586 4936 5553 6787 6879 7404 9172 9872 11106 13574 13758 14808 18344 20361 20637 22212 25223 27148 27516 29616 36688 40722 41274 44424 50446 54296 55032 61083 75669 81444 82548 88848 100892 108592 110064 122166 151338 162888 165096 201784 227007 244332 302676 325776 330192 403568 454014 488664 605352 908028 977328 1210704 1414781 1816056 2829562 3632112 4244343 5659124 8488686 11318248 12733029 15562591 16977372 22636496 25466058 31125182 33954744 46687773 50932116 62250364 67909488 93375546 101864232 124500728 140063319 186751092 203728464 249001456 280126638 373502184 560253276 747004368 1120506552 2241013104