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221415246712 = 23113434710289
BaseRepresentation
bin1100111000110101100…
…0001000101101111000
3210011111210211221021001
43032031120020231320
512111424300343322
6245414453054344
721665606354422
oct3161530105570
9704453757231
10221415246712
11859a1153000
1236ab36273b4
1317b57c832aa
14aa06327812
155b5d597827
hex338d608b78

221415246712 has 128 divisors (see below), whose sum is σ = 477245260800. Its totient is φ = 96201853440.

The previous prime is 221415246677. The next prime is 221415246719. The reversal of 221415246712 is 217642514122.

It is a super-2 number, since 2×2214152467122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221415246719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21514464 + ... + 21524752.

It is an arithmetic number, because the mean of its divisors is an integer number (3728478600).

Almost surely, 2221415246712 is an apocalyptic number.

221415246712 is a gapful number since it is divisible by the number (22) 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 221415246712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238622630400).

221415246712 is an abundant number, since it is smaller than the sum of its proper divisors (255830014088).

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

221415246712 is a wasteful number, since it uses less digits than its factorization.

221415246712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10392 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The spelling of 221415246712 in words is "two hundred twenty-one billion, four hundred fifteen million, two hundred forty-six thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 43 44 47 86 88 94 121 172 188 242 344 376 473 484 517 946 968 1034 1331 1892 2021 2068 2662 3784 4042 4136 5203 5324 5687 8084 10289 10406 10648 11374 16168 20578 20812 22231 22748 41156 41624 44462 45496 57233 62557 82312 88924 113179 114466 125114 177848 226358 228932 244541 250228 442427 452716 457864 483583 489082 500456 884854 905432 967166 978164 1244969 1769708 1934332 1956328 2489938 2689951 3539416 3868664 4866697 4979876 5319413 5379902 9733394 9959752 10638826 10759804 13694659 19466788 20794069 21277652 21519608 27389318 38933576 41588138 42555304 53533667 54778636 58513543 83176276 107067334 109557272 117027086 166352552 214134668 228734759 234054172 428269336 457469518 468108344 588870337 643648973 914939036 1177740674 1287297946 1829878072 2355481348 2516082349 2574595892 4710962696 5032164698 5149191784 10064329396 20128658792 27676905839 55353811678 110707623356 221415246712