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2202242224420 = 2257172671346429
BaseRepresentation
bin100000000010111111110…
…111011001000100100100
321210112101001021100010101
4200002333313121010210
5242040143002140140
64403410205433444
7315051421022350
oct40027767310444
97715331240111
102202242224420
11779a69361417
122b698656b884
1312c89427a054
1478836680460
153c44320e99a
hex200bfdd9124

2202242224420 has 96 divisors (see below), whose sum is σ = 5598397486080. Its totient is φ = 710371399680.

The previous prime is 2202242224409. The next prime is 2202242224447. The reversal of 2202242224420 is 244222422022.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 6183766 + ... + 6530194.

It is an arithmetic number, because the mean of its divisors is an integer number (58316640480).

Almost surely, 22202242224420 is an apocalyptic number.

2202242224420 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 2202242224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799198743040).

2202242224420 is an abundant number, since it is smaller than the sum of its proper divisors (3396155261660).

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

2202242224420 is a wasteful number, since it uses less digits than its factorization.

2202242224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349133 (or 349131 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2202242224420 its reverse (244222422022), we get a palindrome (2446464646442).

The spelling of 2202242224420 in words is "two trillion, two hundred two billion, two hundred forty-two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 2671 5342 10684 13355 18697 26710 37394 45407 53420 74788 90814 93485 181628 186970 227035 317849 346429 373940 454070 635698 692858 908140 1271396 1385716 1589245 1732145 2425003 3178490 3464290 4850006 5889293 6356980 6928580 9700012 11778586 12125015 23557172 24250030 29446465 41225051 48500060 58892930 82450102 117785860 164900204 206125255 412250510 824501020 925311859 1850623718 3701247436 4626559295 6477183013 9253118590 12954366026 15730301603 18506237180 25908732052 31460603206 32385915065 62921206412 64771830130 78651508015 110112111221 129543660260 157303016030 220224222442 314606032060 440448444884 550560556105 1101121112210 2202242224420