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2099268144 = 243323593581
BaseRepresentation
bin111110100100000…
…0100101000110000
312102022010212112000
41331020010220300
513244403040034
6544150334000
7103010325201
oct17510045060
95368125460
102099268144
11987a89256
124a705a300
13275bc29cc
1415cb395a8
15c4470599
hex7d204a30

2099268144 has 160 divisors (see below), whose sum is σ = 6396019200. Its totient is φ = 657803520.

The previous prime is 2099268109. The next prime is 2099268161. The reversal of 2099268144 is 4418629902.

It is a self number, because there is not a number n which added to its sum of digits gives 2099268144.

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, 584434 + ... + 588014.

It is an arithmetic number, because the mean of its divisors is an integer number (39975120).

Almost surely, 22099268144 is an apocalyptic number.

2099268144 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 2099268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198009600).

2099268144 is an abundant number, since it is smaller than the sum of its proper divisors (4296751056).

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

2099268144 is a wasteful number, since it uses less digits than its factorization.

2099268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2099268144 is about 45817.7710501067. The cubic root of 2099268144 is about 1280.4303858702.

The spelling of 2099268144 in words is "two billion, ninety-nine million, two hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 59 69 72 92 108 118 138 144 177 184 207 216 236 276 354 368 414 432 472 531 552 621 708 828 944 1062 1104 1242 1357 1416 1593 1656 2124 2484 2714 2832 3186 3312 3581 4071 4248 4968 5428 6372 7162 8142 8496 9936 10743 10856 12213 12744 14324 16284 21486 21712 24426 25488 28648 32229 32568 36639 42972 48852 57296 64458 65136 73278 82363 85944 96687 97704 128916 146556 164726 171888 193374 195408 211279 247089 257832 293112 329452 386748 422558 494178 515664 586224 633837 658904 741267 773496 845116 988356 1267674 1317808 1482534 1546992 1690232 1901511 1976712 2223801 2535348 2965068 3380464 3803022 3953424 4447602 4859417 5070696 5704533 5930136 7606044 8895204 9718834 10141392 11409066 11860272 14578251 15212088 17790408 19437668 22818132 29156502 30424176 35580816 38875336 43734753 45636264 58313004 77750672 87469506 91272528 116626008 131204259 174939012 233252016 262408518 349878024 524817036 699756048 1049634072 2099268144