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2149255944 = 233411614943
BaseRepresentation
bin1000000000011011…
…0000101100001000
312112210012111220000
42000012300230020
513400202142234
6553134003000
7104155242213
oct20006605410
95483174800
102149255944
11a03220890
124bb946460
132833756a4
1416562c77a
15c8a46899
hex801b0b08

2149255944 has 160 divisors (see below), whose sum is σ = 6676179840. Its totient is φ = 640483200.

The previous prime is 2149255943. The next prime is 2149255951. The reversal of 2149255944 is 4495529412.

2149255944 is a `hidden beast` number, since 2 + 1 + 4 + 92 + 559 + 4 + 4 = 666.

It is a super-2 number, since 2×21492559442 = 9238602225638662272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2149255944.

It is not an unprimeable number, because it can be changed into a prime (2149255943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432337 + ... + 437279.

It is an arithmetic number, because the mean of its divisors is an integer number (41726124).

Almost surely, 22149255944 is an apocalyptic number.

2149255944 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 2149255944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338089920).

2149255944 is an abundant number, since it is smaller than the sum of its proper divisors (4526923896).

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

2149255944 is a wasteful number, since it uses less digits than its factorization.

2149255944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5020 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2149255944 is about 46360.0684210021. The cubic root of 2149255944 is about 1290.5139758271.

The spelling of 2149255944 in words is "two billion, one hundred forty-nine million, two hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 81 88 99 108 122 132 162 183 198 216 244 264 297 324 366 396 488 549 594 648 671 732 792 891 1098 1188 1342 1464 1647 1782 2013 2196 2376 2684 3294 3564 4026 4392 4941 4943 5368 6039 6588 7128 8052 9882 9886 12078 13176 14829 16104 18117 19764 19772 24156 29658 36234 39528 39544 44487 48312 54351 54373 59316 72468 88974 108702 108746 118632 133461 144936 163119 177948 217404 217492 266922 301523 326238 355896 400383 434808 434984 489357 533844 603046 652476 800766 904569 978714 1067688 1206092 1304952 1468071 1601532 1809138 1957428 2412184 2713707 2936142 3203064 3316753 3618276 3914856 4404213 5427414 5872284 6633506 7236552 8141121 8808426 9950259 10854828 11744568 13267012 16282242 17616852 19900518 21709656 24423363 26534024 29850777 32564484 35233704 39801036 48846726 59701554 65128968 79602072 89552331 97693452 119403108 179104662 195386904 238806216 268656993 358209324 537313986 716418648 1074627972 2149255944