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2148222102 = 23131783131149
BaseRepresentation
bin1000000000001011…
…0100010010010110
312112201020222201120
42000002310102112
513344421101402
6553055504410
7104143405125
oct20002642226
95481228646
102148222102
11a02685074
124bb528106
132830a2c50
1416543dabc
15c88e03bc
hex800b4496

2148222102 has 128 divisors (see below), whose sum is σ = 5029516800. Its totient is φ = 605829120.

The previous prime is 2148222077. The next prime is 2148222113. The reversal of 2148222102 is 2012228412.

It is a super-2 number, since 2×21482221022 = 9229716399042596808, which contains 22 as substring.

It is a congruent 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, 14417524 + ... + 14417672.

It is an arithmetic number, because the mean of its divisors is an integer number (39293100).

Almost surely, 22148222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

2148222102 is an abundant number, since it is smaller than the sum of its proper divisors (2881294698).

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

2148222102 is a wasteful number, since it uses less digits than its factorization.

2148222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2148222102 is about 46348.9169452750. The cubic root of 2148222102 is about 1290.3070202470.

The spelling of 2148222102 in words is "two billion, one hundred forty-eight million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 83 102 131 149 166 221 249 262 298 393 442 447 498 663 786 894 1079 1326 1411 1703 1937 2158 2227 2533 2822 3237 3406 3874 4233 4454 5066 5109 5811 6474 6681 7599 8466 10218 10873 11622 12367 13362 15198 18343 19519 21746 24734 28951 32619 32929 36686 37101 39038 55029 57902 58557 65238 65858 74202 86853 98787 110058 117114 141349 160771 173706 184841 197574 210239 253747 282698 321542 331823 369682 420478 424047 482313 507494 554523 630717 663646 761241 848094 964626 995469 1109046 1261434 1522482 1620077 1990938 2402933 2733107 3240154 4313699 4805866 4860231 5466214 7208799 8199321 8627398 9720462 12941097 14417598 16398642 21061001 25882194 27541309 42122002 55082618 63183003 82623927 126366006 165247854 358037017 716074034 1074111051 2148222102