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1022220244416 = 26375411405879
BaseRepresentation
bin11101110000000010001…
…00110001010111000000
310121201112021201210111110
432320001010301113000
5113222001340310131
62101333531243320
7133565366466510
oct16700104612700
93551467653443
101022220244416
11364580751458
121461435a9540
1375519942567
1437693559840
151b8cc39c646
hexee011315c0

1022220244416 has 112 divisors (see below), whose sum is σ = 3096715005440. Its totient is φ = 291522862080.

The previous prime is 1022220244411. The next prime is 1022220244429. The reversal of 1022220244416 is 6144420222201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022220244411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24165 + ... + 1430043.

It is an arithmetic number, because the mean of its divisors is an integer number (27649241120).

Almost surely, 21022220244416 is an apocalyptic number.

1022220244416 is a gapful number since it is divisible by the number (16) 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 1022220244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548357502720).

1022220244416 is an abundant number, since it is smaller than the sum of its proper divisors (2074494761024).

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

1022220244416 is a wasteful number, since it uses less digits than its factorization.

1022220244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406442 (or 1406432 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1022220244416 its reverse (6144420222201), we get a palindrome (7166640466617).

The spelling of 1022220244416 in words is "one trillion, twenty-two billion, two hundred twenty million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 541 672 1082 1344 1623 2164 3246 3787 4328 6492 7574 8656 11361 12984 15148 17312 22722 25968 30296 34624 45444 51936 60592 90888 103872 121184 181776 242368 363552 727104 1405879 2811758 4217637 5623516 8435274 9841153 11247032 16870548 19682306 22494064 29523459 33741096 39364612 44988128 59046918 67482192 78729224 89976256 118093836 134964384 157458448 236187672 269928768 314916896 472375344 629833792 760580539 944750688 1521161078 1889501376 2281741617 3042322156 4563483234 5324063773 6084644312 9126966468 10648127546 12169288624 15972191319 18253932936 21296255092 24338577248 31944382638 36507865872 42592510184 48677154496 63888765276 73015731744 85185020368 127777530552 146031463488 170370040736 255555061104 340740081472 511110122208 1022220244416