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22141122401400 = 2335236901870669
BaseRepresentation
bin1010000100011001000011…
…01111000101010001111000
32220101200002220000010122020
411002030201233011101320
510400230004313321100
6115031254033554440
74443433440112362
oct502144157052170
986350086003566
1022141122401400
117066aa7417822
122597121115a20
13c47b8bb02222
145678c9429d32
15285e1c3935a0
hex142321bc5478

22141122401400 has 48 divisors (see below), whose sum is σ = 68637479446200. Its totient is φ = 5904299306880.

The previous prime is 22141122401383. The next prime is 22141122401441. The reversal of 22141122401400 is 410422114122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 18450934735 + ... + 18450935934.

Almost surely, 222141122401400 is an apocalyptic number.

22141122401400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141122401400 is an abundant number, since it is smaller than the sum of its proper divisors (46496357044800).

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

22141122401400 is a wasteful number, since it uses less digits than its factorization.

22141122401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36901870688 (or 36901870679 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22141122401400 its reverse (410422114122), we get a palindrome (22551544515522).

The spelling of 22141122401400 in words is "twenty-two trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 36901870669 73803741338 110705612007 147607482676 184509353345 221411224014 295214965352 369018706690 442822448028 553528060035 738037413380 885644896056 922546766725 1107056120070 1476074826760 1845093533450 2214112240140 2767640300175 3690187066900 4428224480280 5535280600350 7380374133800 11070561200700 22141122401400