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2249640774 = 23219371391279
BaseRepresentation
bin1000011000010110…
…1100101101000110
312210210002120222200
42012011230231012
514101402001044
61011121335330
7106514426313
oct20605545506
95723076880
102249640774
11a54955457
12529497546
1329b0c23b4
14174abdd0a
15d2775369
hex8616cb46

2249640774 has 96 divisors (see below), whose sum is σ = 5311488000. Its totient is φ = 685703232.

The previous prime is 2249640727. The next prime is 2249640779. The reversal of 2249640774 is 4770469422.

It is a super-2 number, since 2×22496407742 = 10121767224086638152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249640779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758267 + ... + 1759545.

It is an arithmetic number, because the mean of its divisors is an integer number (55328000).

Almost surely, 22249640774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249640774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655744000).

2249640774 is an abundant number, since it is smaller than the sum of its proper divisors (3061847226).

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

2249640774 is a wasteful number, since it uses less digits than its factorization.

2249640774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2249640774 is about 47430.3781768604. The cubic root of 2249640774 is about 1310.3009572115.

The spelling of 2249640774 in words is "two billion, two hundred forty-nine million, six hundred forty thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 139 171 222 278 333 342 417 666 703 834 1251 1279 1406 2109 2502 2558 2641 3837 4218 5143 5282 6327 7674 7923 10286 11511 12654 15429 15846 23022 23769 24301 30858 46287 47323 47538 48602 72903 92574 94646 97717 141969 145806 177781 195434 218709 283938 293151 355562 425907 437418 533343 586302 851814 879453 899137 1066686 1600029 1758906 1798274 2697411 3200058 3377839 5394822 6577897 6755678 8092233 10133517 13155794 16184466 19733691 20267034 30400551 39467382 59201073 60801102 118402146 124980043 249960086 374940129 749880258 1124820387 2249640774