Search a number
-
+
2420217522954 = 2327211733417199
BaseRepresentation
bin100011001110000000001…
…101001010101100001010
322120101000010020210121100
4203032000031022230022
5304123101141213304
65051455500522230
7336566150341500
oct43160015125412
98511003223540
102420217522954
11853454773440
12331079b50376
131472c165b43a
14851d3b9c670
1542e4e7ad439
hex2338034ab0a

2420217522954 has 144 divisors (see below), whose sum is σ = 6745634812800. Its totient is φ = 620016405120.

The previous prime is 2420217522953. The next prime is 2420217522959. The reversal of 2420217522954 is 4592257120242.

2420217522954 is a `hidden beast` number, since 2 + 4 + 20 + 2 + 17 + 522 + 95 + 4 = 666.

It is a super-2 number, since 2×24202175229542 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2420217522953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1000354 + ... + 2416845.

It is an arithmetic number, because the mean of its divisors is an integer number (46844686200).

Almost surely, 22420217522954 is an apocalyptic number.

2420217522954 is an abundant number, since it is smaller than the sum of its proper divisors (4325417289846).

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

2420217522954 is a wasteful number, since it uses less digits than its factorization.

2420217522954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417305 (or 3417295 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2420217522954 in words is "two trillion, four hundred twenty billion, two hundred seventeen million, five hundred twenty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 73 77 98 99 126 146 147 154 198 219 231 294 438 441 462 511 539 657 693 803 882 1022 1078 1314 1386 1533 1606 1617 2409 3066 3234 3577 4599 4818 4851 5621 7154 7227 9198 9702 10731 11242 14454 16863 21462 32193 33726 39347 50589 64386 78694 101178 118041 236082 354123 708246 3417199 6834398 10251597 20503194 23920393 30754791 37589189 47840786 61509582 71761179 75178378 112767567 143522358 167442751 215283537 225535134 249455527 263124323 334885502 338302701 430567074 498911054 502328253 526248646 676605402 748366581 789372969 1004656506 1496733162 1506984759 1578745938 1746188689 1841870261 2245099743 2368118907 2744010797 3013969518 3492377378 3683740522 4490199486 4736237814 5238566067 5488021594 5525610783 8232032391 10477132134 11051221566 12223320823 15715698201 16464064782 16576832349 19208075579 24446641646 24696097173 31431396402 33153664698 36669962469 38416151158 49392194346 57624226737 73339924938 110009887407 115248453474 134456529053 172872680211 220019774814 268913058106 345745360422 403369587159 806739174318 1210108761477 2420217522954