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2289073122 = 236721792
BaseRepresentation
bin1000100001110000…
…0111101111100010
312220112021222000000
42020130013233202
514142000314442
61015050440430
7110503541400
oct21034075742
95815258000
102289073122
11a75138576
1253a733116
132a631a74b
1417a026470
15d5e63d4c
hex88707be2

2289073122 has 126 divisors (see below), whose sum is σ = 6022201563. Its totient is φ = 650367144.

The previous prime is 2289073121. The next prime is 2289073169. The reversal of 2289073122 is 2213709822.

It can be written as a sum of positive squares in only one way, i.e., 1144536561 + 1144536561 = 33831^2 + 33831^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33831.

It is not an unprimeable number, because it can be changed into a prime (2289073121) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12788029 + ... + 12788207.

Almost surely, 22289073122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289073122

2289073122 is an abundant number, since it is smaller than the sum of its proper divisors (3733128441).

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

2289073122 is an frugal number, since it uses more digits than its factorization.

2289073122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2289073122 is about 47844.2590286442. The cubic root of 2289073122 is about 1317.9124337472.

The spelling of 2289073122 in words is "two billion, two hundred eighty-nine million, seventy-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 179 189 243 294 358 378 441 486 537 567 729 882 1074 1134 1253 1323 1458 1611 1701 2506 2646 3222 3402 3759 3969 4833 5103 7518 7938 8771 9666 10206 11277 11907 14499 17542 22554 23814 26313 28998 32041 33831 35721 43497 52626 64082 67662 71442 78939 86994 96123 101493 130491 157878 192246 202986 224287 236817 260982 288369 304479 448574 473634 576738 608958 672861 710451 865107 913437 1345722 1420902 1570009 1730214 1826874 2018583 2131353 2595321 3140018 4037166 4262706 4710027 5190642 6055749 6394059 7785963 9420054 12111498 12788118 14130081 15571926 18167247 23357889 28260162 36334494 42390243 46715778 54501741 84780486 109003482 127170729 163505223 254341458 327010446 381512187 763024374 1144536561 2289073122