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2122263255616 = 26737731753867
BaseRepresentation
bin11110111000100000101…
…111110101101001000000
321111212221011201202111121
4132320200233311221000
5234232343343134431
64302542042522024
7306220443013240
oct36704057655100
97455834652447
102122263255616
1174905730a399
122a3385806314
131251895c9b3a
1474a0a61bb20
153a3119e7611
hex1ee20bf5a40

2122263255616 has 112 divisors (see below), whose sum is σ = 5010786845056. Its totient is φ = 872835969024.

The previous prime is 2122263255611. The next prime is 2122263255631. The reversal of 2122263255616 is 6165523622212.

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

It is a super-2 number, since 2×21222632556162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122263255611) 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, 333115 + ... + 2086981.

Almost surely, 22122263255616 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 2122263255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505393422528).

2122263255616 is an abundant number, since it is smaller than the sum of its proper divisors (2888523589440).

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

2122263255616 is a wasteful number, since it uses less digits than its factorization.

2122263255616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753996 (or 1753986 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

Adding to 2122263255616 its reverse (6165523622212), we get a palindrome (8287786877828).

The spelling of 2122263255616 in words is "two trillion, one hundred twenty-two billion, two hundred sixty-three million, two hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 73 74 112 146 148 224 259 292 296 448 511 518 584 592 1022 1036 1168 1184 2044 2072 2336 2368 2701 4088 4144 4672 5402 8176 8288 10804 16352 16576 18907 21608 32704 37814 43216 75628 86432 151256 172864 302512 605024 1210048 1753867 3507734 7015468 12277069 14030936 24554138 28061872 49108276 56123744 64893079 98216552 112247488 128032291 129786158 196433104 256064582 259572316 392866208 454251553 512129164 519144632 785732416 896226037 908503106 1024258328 1038289264 1792452074 1817006212 2048516656 2076578528 3584904148 3634012424 4097033312 4153157056 4737194767 7169808296 7268024848 8194066624 9474389534 14339616592 14536049696 18948779068 28679233184 29072099392 33160363369 37897558136 57358466368 66320726738 75795116272 132641453476 151590232544 265282906952 303180465088 530565813904 1061131627808 2122263255616