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2289089086320 = 243597701140269
BaseRepresentation
bin100001010011111000010…
…101111000001101110000
322002211112112222000221010
4201103320111320031300
5300001023301230240
64511332031230520
7324244522123431
oct41237025701560
98084475860833
102289089086320
11802885127153
1230b783378440
13137b24a5a72a
147cb148b1488
153e827848280
hex214f8578370

2289089086320 has 160 divisors (see below), whose sum is σ = 7179611100480. Its totient is φ = 603264614400.

The previous prime is 2289089086303. The next prime is 2289089086331. The reversal of 2289089086320 is 236809809822.

It is a super-2 number, since 2×22890890863202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16249146 + ... + 16389414.

It is an arithmetic number, because the mean of its divisors is an integer number (44872569378).

Almost surely, 22289089086320 is an apocalyptic number.

2289089086320 is a gapful number since it is divisible by the number (20) 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 2289089086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589805550240).

2289089086320 is an abundant number, since it is smaller than the sum of its proper divisors (4890522014160).

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

2289089086320 is a wasteful number, since it uses less digits than its factorization.

2289089086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141083 (or 141077 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 2289089086320 in words is "two trillion, two hundred eighty-nine billion, eighty-nine million, eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 701 776 970 1164 1402 1455 1552 1940 2103 2328 2804 2910 3505 3880 4206 4656 5608 5820 7010 7760 8412 10515 11216 11640 14020 16824 21030 23280 28040 33648 42060 56080 67997 84120 135994 140269 168240 203991 271988 280538 339985 407982 420807 543976 561076 679970 701345 815964 841614 1019955 1087952 1122152 1359940 1402690 1631928 1683228 2039910 2104035 2244304 2719880 2805380 3263856 3366456 4079820 4208070 5439760 5610760 6732912 8159640 8416140 11221520 13606093 16319280 16832280 27212186 33664560 40818279 54424372 68030465 81636558 98328569 108848744 136060930 163273116 196657138 204091395 217697488 272121860 294985707 326546232 393314276 408182790 491642845 544243720 589971414 653092464 786628552 816365580 983285690 1088487440 1179942828 1474928535 1573257104 1632731160 1966571380 2359885656 2949857070 3265462320 3933142760 4719771312 5899714140 7866285520 9537871193 11799428280 19075742386 23598856560 28613613579 38151484772 47689355965 57227227158 76302969544 95378711930 114454454316 143068067895 152605939088 190757423860 228908908632 286136135790 381514847720 457817817264 572272271580 763029695440 1144544543160 2289089086320