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2114204160 = 29352311969
BaseRepresentation
bin111111000000100…
…0011001000000000
312110100020200212210
41332001003020000
513312214013120
6545442422120
7103251303345
oct17601031000
95410220783
102114204160
1199545a972
124b0061940
132790221a3
14160b067cc
15c5920ce0
hex7e043200

2114204160 has 160 divisors (see below), whose sum is σ = 7053298560. Its totient is φ = 539230208.

The previous prime is 2114204159. The next prime is 2114204189. The reversal of 2114204160 is 614024112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×21142041602 = 8939718460322611200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170656 + ... + 182624.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 22114204160 is an apocalyptic number.

2114204160 is a gapful number since it is divisible by the number (20) 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 2114204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526649280).

2114204160 is an abundant number, since it is smaller than the sum of its proper divisors (4939094400).

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

2114204160 is a wasteful number, since it uses less digits than its factorization.

2114204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2114204160 is about 45980.4758566068. The cubic root of 2114204160 is about 1283.4599100803.

Adding to 2114204160 its reverse (614024112), we get a palindrome (2728228272).

The spelling of 2114204160 in words is "two billion, one hundred fourteen million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1104 1280 1380 1472 1536 1840 1920 2208 2560 2760 2944 3680 3840 4416 5520 5888 7360 7680 8832 11040 11776 11969 14720 17664 22080 23938 29440 35328 35907 44160 47876 58880 59845 71814 88320 95752 119690 143628 176640 179535 191504 239380 275287 287256 359070 383008 478760 550574 574512 718140 766016 825861 957520 1101148 1149024 1376435 1436280 1532032 1651722 1915040 2202296 2298048 2752870 2872560 3064064 3303444 3830080 4129305 4404592 4596096 5505740 5745120 6128128 6606888 7660160 8258610 8809184 9192192 11011480 11490240 13213776 15320320 16517220 17618368 18384384 22022960 22980480 26427552 30640640 33034440 35236736 44045920 45960960 52855104 66068880 70473472 88091840 91921920 105710208 132137760 140946944 176183680 211420416 264275520 352367360 422840832 528551040 704734720 1057102080 2114204160