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2105752194 = 2337131732477
BaseRepresentation
bin111110110000011…
…0011101010000010
312102202100021222000
41331200303222002
513303033032234
6544541324430
7103116412140
oct17540635202
95382307860
102105752194
11990707877
124a9266716
13277353120
1415d946590
15c4d01899
hex7d833a82

2105752194 has 128 divisors (see below), whose sum is σ = 5794951680. Its totient is φ = 551930112.

The previous prime is 2105752171. The next prime is 2105752211. The reversal of 2105752194 is 4912575012.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848884 + ... + 851360.

It is an arithmetic number, because the mean of its divisors is an integer number (45273060).

Almost surely, 22105752194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105752194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897475840).

2105752194 is an abundant number, since it is smaller than the sum of its proper divisors (3689199486).

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

2105752194 is a wasteful number, since it uses less digits than its factorization.

2105752194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2105752194 is about 45888.4756120750. The cubic root of 2105752194 is about 1281.7473275869.

The spelling of 2105752194 in words is "two billion, one hundred five million, seven hundred fifty-two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 173 182 189 234 273 346 351 378 519 546 702 819 1038 1211 1557 1638 2249 2422 2457 2477 3114 3633 4498 4671 4914 4954 6747 7266 7431 9342 10899 13494 14862 15743 17339 20241 21798 22293 31486 32201 32697 34678 40482 44586 47229 52017 60723 64402 65394 66879 94458 96603 104034 121446 133758 141687 156051 193206 225407 283374 289809 312102 425061 428521 450814 468153 579618 676221 850122 857042 869427 936306 1285563 1352442 1738854 2028663 2571126 2999647 3856689 4057326 5570773 5999294 6085989 7713378 8998941 11141546 11570067 12171978 16712319 17997882 23140134 26996823 33424638 38995411 50136957 53993646 77990822 80990469 100273914 116986233 150410871 161980938 233972466 300821742 350958699 701917398 1052876097 2105752194