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2213223011020 = 225731778763367
BaseRepresentation
bin100000001101001110010…
…111110001001011001100
321211120201022120002112101
4200031032113301023030
5242230140042323040
64412423550044444
7315620505123430
oct40151627611314
97746638502471
102213223011020
1178369376696a
122b8b2baa9724
13130924208308
1479198b8c9c0
153c88725609a
hex2034e5f12cc

2213223011020 has 96 divisors (see below), whose sum is σ = 5335346322432. Its totient is φ = 755452493568.

The previous prime is 2213223011017. The next prime is 2213223011033. The reversal of 2213223011020 is 201103223122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34895377 + ... + 34958743.

It is an arithmetic number, because the mean of its divisors is an integer number (55576524192).

Almost surely, 22213223011020 is an apocalyptic number.

2213223011020 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 2213223011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667673161216).

2213223011020 is an abundant number, since it is smaller than the sum of its proper divisors (3122123311412).

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

2213223011020 is a wasteful number, since it uses less digits than its factorization.

2213223011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64487 (or 64485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2213223011020 its reverse (201103223122), we get a palindrome (2414326234142).

The spelling of 2213223011020 in words is "two trillion, two hundred thirteen billion, two hundred twenty-three million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 787 1268 1574 1585 2219 3148 3170 3935 4438 5509 6340 7870 8876 11018 11095 15740 22036 22190 27545 44380 55090 63367 110180 126734 249479 253468 316835 443569 498958 633670 887138 997916 1247395 1267340 1746353 1774276 2217845 2494790 3492706 4435690 4989580 6985412 8731765 8871380 17463530 20087339 34927060 40174678 49869829 80349356 99739658 100436695 140611373 199479316 200873390 249349145 281222746 349088803 401746780 498698290 562445492 698177606 703056865 997396580 1396355212 1406113730 1745444015 2812227460 3490888030 6981776060 15808735793 31617471586 63234943172 79043678965 110661150551 158087357930 221322301102 316174715860 442644602204 553305752755 1106611505510 2213223011020