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2200302411424 = 251323076192141
BaseRepresentation
bin100000000001001100001…
…111100101111010100000
321210100100212011121221121
4200001030033211322200
5242022204404131144
64402445512502024
7314652354624025
oct40011417457240
97710325147847
102200302411424
11779163393187
122b65249aa914
1312c645416b00
14786d0bb154c
153c37cc8a384
hex2004c3e5ea0

2200302411424 has 144 divisors (see below), whose sum is σ = 4715779733280. Its totient is φ = 1010109035520.

The previous prime is 2200302411407. The next prime is 2200302411469. The reversal of 2200302411424 is 4241142030022.

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, 1027697394 + ... + 1027699534.

It is an arithmetic number, because the mean of its divisors is an integer number (32748470370).

Almost surely, 22200302411424 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 2200302411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357889866640).

2200302411424 is an abundant number, since it is smaller than the sum of its proper divisors (2515477321856).

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

2200302411424 is a wasteful number, since it uses less digits than its factorization.

2200302411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2200302411424 its reverse (4241142030022), we get a palindrome (6441444441446).

The spelling of 2200302411424 in words is "two trillion, two hundred billion, three hundred two million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 307 338 416 614 619 676 1228 1238 1352 2141 2456 2476 2704 3991 4282 4912 4952 5408 7982 8047 8564 9824 9904 15964 16094 17128 19808 27833 31928 32188 34256 51883 55666 63856 64376 68512 103766 104611 111332 127712 128752 190033 207532 209222 222664 257504 361829 380066 415064 418444 445328 657287 723658 760132 830128 836888 890656 1314574 1325279 1447316 1520264 1660256 1673776 2470429 2629148 2650558 2894632 3040528 3347552 4940858 5258296 5301116 5789264 6081056 8544731 9881716 10516592 10602232 11578528 17089462 17228627 19763432 21033184 21204464 32115577 34178924 34457254 39526864 42408928 64231154 68357848 68914508 79053728 111081503 128462308 136715696 137829016 222163006 223972151 256924616 273431392 275658032 406860653 444326012 447944302 513849232 551316064 813721306 888652024 895888604 1027698464 1627442612 1777304048 1791777208 3254885224 3554608096 3583554416 5289188489 6509770448 7167108832 10578376978 13019540896 21156753956 42313507912 68759450357 84627015824 137518900714 169254031648 275037801428 550075602856 1100151205712 2200302411424