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2281983122960 = 245233019410801
BaseRepresentation
bin100001001101010000110…
…010110001111000010000
322002011012022211200201222
4201031100302301320100
5244342000134413320
64504154545544212
7323603445334202
oct41152062617020
98064168750658
102281983122960
117aa868a88762
1230a31b645068
13137261803898
147c63cc50772
153e55da9c825
hex21350cb1e10

2281983122960 has 80 divisors (see below), whose sum is σ = 5538136786560. Its totient is φ = 872815257600.

The previous prime is 2281983122927. The next prime is 2281983122987. The reversal of 2281983122960 is 692213891822.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5349560 + ... + 5760360.

It is an arithmetic number, because the mean of its divisors is an integer number (69226709832).

Almost surely, 22281983122960 is an apocalyptic number.

2281983122960 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 2281983122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769068393280).

2281983122960 is an abundant number, since it is smaller than the sum of its proper divisors (3256153663600).

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

2281983122960 is a wasteful number, since it uses less digits than its factorization.

2281983122960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413856 (or 413850 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 2281983122960 in words is "two trillion, two hundred eighty-one billion, nine hundred eighty-three million, one hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 3019 6038 12076 15095 24152 30190 48304 60380 69437 120760 138874 241520 277748 347185 410801 555496 694370 821602 1110992 1388740 1643204 2054005 2777480 3286408 4108010 5554960 6572816 8216020 9448423 16432040 18896846 32864080 37793692 47242115 75587384 94484230 151174768 188968460 377936920 755873840 1240208219 2480416438 4960832876 6201041095 9921665752 12402082190 19843331504 24804164380 28524789037 49608328760 57049578074 99216657520 114099156148 142623945185 228198312296 285247890370 456396624592 570495780740 1140991561480 2281983122960