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22231312132000 = 255337671475399
BaseRepresentation
bin1010000111000001000010…
…11101100110011110100000
32220201021220100220011012211
411003200201131212132200
510403214211401211000
6115140531312531504
74453105432142356
oct503404135463640
986637810804184
1022231312132000
1170a1279147264
1225b06b1550b94
13c5353302441a
1456c0035d57d6
1528844a1eb7ba
hex1438217667a0

22231312132000 has 96 divisors (see below), whose sum is σ = 54636871161600. Its totient is φ = 8890158188800.

The previous prime is 22231312131989. The next prime is 22231312132013. The reversal of 22231312132000 is 23121313222.

It is a super-2 number, since 2×222313121320002 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14330301 + ... + 15805699.

It is an arithmetic number, because the mean of its divisors is an integer number (569134074600).

Almost surely, 222231312132000 is an apocalyptic number.

22231312132000 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 22231312132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318435580800).

22231312132000 is an abundant number, since it is smaller than the sum of its proper divisors (32405559029600).

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

22231312132000 is a wasteful number, since it uses less digits than its factorization.

22231312132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479191 (or 1479173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22231312132000 its reverse (23121313222), we get a palindrome (22254433445222).

The spelling of 22231312132000 in words is "twenty-two trillion, two hundred thirty-one billion, three hundred twelve million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3767 4000 7534 15068 18835 30136 37670 60272 75340 94175 120544 150680 188350 301360 376700 470875 602720 753400 941750 1475399 1506800 1883500 2950798 3013600 3767000 5901596 7376995 7534000 11803192 14753990 15068000 23606384 29507980 36884975 47212768 59015960 73769950 118031920 147539900 184424875 236063840 295079800 368849750 590159600 737699500 1180319200 1475399000 2950798000 5557828033 5901596000 11115656066 22231312132 27789140165 44462624264 55578280330 88925248528 111156560660 138945700825 177850497056 222313121320 277891401650 444626242640 555782803300 694728504125 889252485280 1111565606600 1389457008250 2223131213200 2778914016500 4446262426400 5557828033000 11115656066000 22231312132000