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2114222000 = 245311175653
BaseRepresentation
bin111111000000100…
…0111011110110000
312110100021121100112
41332001013132300
513312220101000
6545443040452
7103251406352
oct17601073660
95410247315
102114222000
11995472310
124b0070128
1327902a347
14160b0d0d2
15c5926235
hex7e0477b0

2114222000 has 160 divisors (see below), whose sum is σ = 5906032704. Its totient is φ = 723456000.

The previous prime is 2114221943. The next prime is 2114222027. The reversal of 2114222000 is 2224112.

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, 371174 + ... + 376826.

Almost surely, 22114222000 is an apocalyptic number.

2114222000 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 2114222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953016352).

2114222000 is an abundant number, since it is smaller than the sum of its proper divisors (3791810704).

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

2114222000 is a wasteful number, since it uses less digits than its factorization.

2114222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2114222000 is about 45980.6698515800. The cubic root of 2114222000 is about 1283.4635200850.

Adding to 2114222000 its reverse (2224112), we get a palindrome (2116446112).

The spelling of 2114222000 in words is "two billion, one hundred fourteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 5653 6800 7480 8500 9350 11000 11306 14960 17000 18700 22000 22612 23375 28265 34000 37400 45224 46750 56530 62183 74800 90448 93500 96101 113060 124366 141325 187000 192202 226120 248732 282650 310915 374000 384404 452240 480505 497464 565300 621830 706625 768808 961010 994928 1057111 1130600 1243660 1413250 1537616 1554575 1922020 2114222 2261200 2402525 2487320 2826500 3109150 3844040 4228444 4805050 4974640 5285555 5653000 6218300 7688080 7772875 8456888 9610100 10571110 11306000 12012625 12436600 15545750 16913776 19220200 21142220 24025250 24873200 26427775 31091500 38440400 42284440 48050500 52855550 62183000 84568880 96101000 105711100 124366000 132138875 192202000 211422200 264277750 422844400 528555500 1057111000 2114222000