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2210133443040 = 253259929154579
BaseRepresentation
bin100000001010010110001…
…110000000000111100000
321211021201222222210000200
4200022112032000013200
5242202323130134130
64411153221545200
7315451111204545
oct40122616000740
97737658883020
102210133443040
1178234878a7a6
122b8409275200
131305510c3693
1478d8470cbcc
153c755dbd760
hex202963801e0

2210133443040 has 144 divisors (see below), whose sum is σ = 7542888771600. Its totient is φ = 589305747456.

The previous prime is 2210133443027. The next prime is 2210133443057. The reversal of 2210133443040 is 403443310122.

2210133443040 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 13 + 344 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2210133442995 and 2210133443013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14220471 + ... + 14375049.

It is an arithmetic number, because the mean of its divisors is an integer number (52381172025).

Almost surely, 22210133443040 is an apocalyptic number.

2210133443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210133443040 is an abundant number, since it is smaller than the sum of its proper divisors (5332755328560).

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

2210133443040 is a wasteful number, since it uses less digits than its factorization.

2210133443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164529 (or 164518 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2210133443040 its reverse (403443310122), we get a palindrome (2613576753162).

The spelling of 2210133443040 in words is "two trillion, two hundred ten billion, one hundred thirty-three million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9929 19858 29787 39716 49645 59574 79432 89361 99290 119148 148935 154579 158864 178722 198580 238296 297870 309158 317728 357444 397160 446805 463737 476592 595740 618316 714888 772895 794320 893610 927474 953184 1191480 1236632 1391211 1429776 1545790 1588640 1787220 1854948 2318685 2382960 2473264 2782422 2859552 3091580 3574440 3709896 4637370 4765920 4946528 5564844 6183160 6956055 7148880 7419792 9274740 11129688 12366320 13912110 14297760 14839584 18549480 22259376 24732640 27824220 37098960 44518752 55648440 74197920 111296880 222593760 1534814891 3069629782 4604444673 6139259564 7674074455 9208889346 12278519128 13813334019 15348148910 18417778692 23022223365 24557038256 27626668038 30696297820 36835557384 46044446730 49114076512 55253336076 61392595640 69066670095 73671114768 92088893460 110506672152 122785191280 138133340190 147342229536 184177786920 221013344304 245570382560 276266680380 368355573840 442026688608 552533360760 736711147680 1105066721520 2210133443040