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22312014104000 = 265322912179047
BaseRepresentation
bin1010001001010111010111…
…01011001100010111000000
32221000000012121220002202202
411010223223223030113000
510411030001102312000
6115241555304132332
74461663336450515
oct504535353142700
987000177802682
1022312014104000
11712252131a295
1226042744670a8
13c5b02470908a
14571c9b69d30c
1528a5c012bdd5
hex144aebacc5c0

22312014104000 has 112 divisors (see below), whose sum is σ = 55496998764480. Its totient is φ = 8885831961600.

The previous prime is 22312014103963. The next prime is 22312014104047. The reversal of 22312014104000 is 40141021322.

It is a super-3 number, since 3×223120141040003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4257524 + ... + 7921523.

It is an arithmetic number, because the mean of its divisors is an integer number (495508917540).

Almost surely, 222312014104000 is an apocalyptic number.

22312014104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312014104000 is an abundant number, since it is smaller than the sum of its proper divisors (33184984660480).

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

22312014104000 is a wasteful number, since it uses less digits than its factorization.

22312014104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179303 (or 12179283 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22312014104000 its reverse (40141021322), we get a palindrome (22352155125322).

The spelling of 22312014104000 in words is "twenty-two trillion, three hundred twelve billion, fourteen million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 229 250 320 400 458 500 800 916 1000 1145 1600 1832 2000 2290 3664 4000 4580 5725 7328 8000 9160 11450 14656 18320 22900 28625 36640 45800 57250 73280 91600 114500 183200 229000 366400 458000 916000 1832000 12179047 24358094 48716188 60895235 97432376 121790470 194864752 243580940 304476175 389729504 487161880 608952350 779459008 974323760 1217904700 1522380875 1948647520 2435809400 2789001763 3044761750 3897295040 4871618800 5578003526 6089523500 9743237600 11156007052 12179047000 13945008815 19486475200 22312014104 24358094000 27890017630 44624028208 48716188000 55780035260 69725044075 89248056416 97432376000 111560070520 139450088150 178496112832 223120141040 278900176300 348625220375 446240282080 557800352600 697250440750 892480564160 1115600705200 1394500881500 2231201410400 2789001763000 4462402820800 5578003526000 11156007052000 22312014104000