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2214514365102 = 2321361797194659
BaseRepresentation
bin100000001110011011010…
…101111001001010101110
321211201001022110200022100
4200032123111321022232
5242240311134140402
64413200040155530
7315664505344224
oct40163325711256
97751038420270
102214514365102
11784196699346
122b9230468ba6
13130a9b906b60
147927c49cb14
153c9107d971c
hex2039b5792ae

2214514365102 has 96 divisors (see below), whose sum is σ = 5258524995360. Its totient is φ = 669374357760.

The previous prime is 2214514365073. The next prime is 2214514365127. The reversal of 2214514365102 is 2015634154122.

2214514365102 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 514 + 36 + 5 + 102 = 666.

2214514365102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22145143651022 (a number of 25 digits) 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 47 ways as a sum of consecutive naturals, for example, 11279049 + ... + 11473707.

It is an arithmetic number, because the mean of its divisors is an integer number (54776302035).

Almost surely, 22214514365102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214514365102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629262497680).

2214514365102 is an abundant number, since it is smaller than the sum of its proper divisors (3044010630258).

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

2214514365102 is a wasteful number, since it uses less digits than its factorization.

2214514365102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195538 (or 195535 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2214514365102 in words is "two trillion, two hundred fourteen billion, five hundred fourteen million, three hundred sixty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 797 1098 1586 1594 2379 2391 4758 4782 7137 7173 10361 14274 14346 20722 31083 48617 62166 93249 97234 145851 186498 194659 291702 389318 437553 583977 632021 875106 1167954 1264042 1751931 1896063 2530567 3503862 3792126 5061134 5688189 7591701 11376378 11874199 15183402 22775103 23748398 35622597 45550206 71245194 106867791 154364587 155143223 213735582 308729174 310286446 463093761 465429669 926187522 930859338 1389281283 1396289007 2016861899 2778562566 2792578014 4033723798 6050585697 9463736603 12101171394 18151757091 18927473206 28391209809 36303514182 56782419618 85173629427 123028575839 170347258854 246057151678 369085727517 738171455034 1107257182551 2214514365102