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2002200213400 = 2352192917180629
BaseRepresentation
bin11101001000101100011…
…011101011011110011000
321002102000202221021100021
4131020230123223132120
5230301001223312100
64131444215120224
7264440250003262
oct35105433533630
97072022837307
102002200213400
11702145906772
12284058973074
13116a6433bbaa
146cc9ab84b32
153713623ca1a
hex1d22c6eb798

2002200213400 has 96 divisors (see below), whose sum is σ = 4901828562000. Its totient is φ = 758464197120.

The previous prime is 2002200213353. The next prime is 2002200213443. The reversal of 2002200213400 is 43120022002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10994286 + ... + 11174914.

Almost surely, 22002200213400 is an apocalyptic number.

2002200213400 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 2002200213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450914281000).

2002200213400 is an abundant number, since it is smaller than the sum of its proper divisors (2899628348600).

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

2002200213400 is a wasteful number, since it uses less digits than its factorization.

2002200213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183581 (or 183572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2002200213400 its reverse (43120022002), we get a palindrome (2045320235402).

The spelling of 2002200213400 in words is "two trillion, two billion, two hundred million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2917 3800 5834 11668 14585 23336 29170 55423 58340 72925 110846 116680 145850 180629 221692 277115 291700 361258 443384 554230 583400 722516 903145 1108460 1385575 1445032 1806290 2216920 2771150 3431951 3612580 4515725 5542300 6863902 7225160 9031450 11084600 13727804 17159755 18062900 27455608 34319510 36125800 68639020 85798775 137278040 171597550 343195100 526894793 686390200 1053789586 2107579172 2634473965 4215158344 5268947930 10011001067 10537895860 13172369825 20022002134 21075791720 26344739650 40044004268 50055005335 52689479300 80088008536 100110010670 105378958600 200220021340 250275026675 400440042680 500550053350 1001100106700 2002200213400