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2202203203312 = 2474310143910313
BaseRepresentation
bin100000000010111101100…
…010100010011011110000
321210112021022211212020011
4200002331202202123300
5242040103010001222
64403402253224304
7315050435242240
oct40027542423360
97715238755204
102202203203312
11779a4932a272
122b6975492094
1312c889166c38
1478831403b20
153c43eaa2c77
hex200bd8a26f0

2202203203312 has 160 divisors (see below), whose sum is σ = 5051080995840. Its totient is φ = 910557849600.

The previous prime is 2202203203267. The next prime is 2202203203339. The reversal of 2202203203312 is 2133023022022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213531468 + ... + 213541780.

It is an arithmetic number, because the mean of its divisors is an integer number (31569256224).

Almost surely, 22202203203312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202203203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525540497920).

2202203203312 is an abundant number, since it is smaller than the sum of its proper divisors (2848877792528).

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

2202203203312 is a wasteful number, since it uses less digits than its factorization.

2202203203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10911 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2202203203312 its reverse (2133023022022), we get a palindrome (4335226225334).

The spelling of 2202203203312 in words is "two trillion, two hundred two billion, two hundred three million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 101 112 172 202 301 344 404 439 602 688 707 808 878 1204 1414 1616 1756 2408 2828 3073 3512 4343 4816 5656 6146 7024 8686 10313 11312 12292 17372 18877 20626 24584 30401 34744 37754 41252 44339 49168 60802 69488 72191 75508 82504 88678 121604 132139 144382 151016 165008 177356 243208 264278 288764 302032 310373 354712 443459 486416 528556 577528 620746 709424 886918 1041613 1057112 1155056 1241492 1773836 1906577 2083226 2114224 2482984 3104213 3547672 3813154 4166452 4527407 4965968 6208426 7095344 7291291 7626308 8332904 9054814 12416852 13346039 14582582 15252616 16665808 18109628 24833704 26692078 29165164 30505232 31691849 36219256 44789359 49667408 53384156 58330328 63383698 72438512 89578718 106768312 116660656 126767396 179157436 194678501 213536624 253534792 313525513 358314872 389357002 457268107 507069584 627051026 716629744 778714004 914536214 1254102052 1362749507 1557428008 1829072428 2508204104 2725499014 3114856016 3200876749 3658144856 5016408208 5450998028 6401753498 7316289712 10901996056 12803506996 19662528601 21803992112 25607013992 39325057202 51214027984 78650114404 137637700207 157300228808 275275400414 314600457616 550550800828 1101101601656 2202203203312