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22451124454140 = 22352281031640423
BaseRepresentation
bin1010001101011010011110…
…10011000100001011111100
32221111022021110120002100010
411012231033103010023330
510420314400330013030
6115425523145503220
74505016536066454
oct506551723041374
987438243502303
1022451124454140
117176517500308
1226272181a1b10
13c6b193b89725
145788d6aa6d64
1528e012bb86b0
hex146b4f4c42fc

22451124454140 has 48 divisors (see below), whose sum is σ = 62863462384128. Its totient is φ = 5986936624704.

The previous prime is 22451124454117. The next prime is 22451124454147. The reversal of 22451124454140 is 4145442115422.

It is a super-2 number, since 2×224511244541402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22451124454147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12865969 + ... + 14506391.

It is an arithmetic number, because the mean of its divisors is an integer number (1309655466336).

Almost surely, 222451124454140 is an apocalyptic number.

22451124454140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22451124454140 is an abundant number, since it is smaller than the sum of its proper divisors (40412337929988).

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

22451124454140 is a wasteful number, since it uses less digits than its factorization.

22451124454140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868538 (or 1868536 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

Adding to 22451124454140 its reverse (4145442115422), we get a palindrome (26596566569562).

The spelling of 22451124454140 in words is "twenty-two trillion, four hundred fifty-one billion, one hundred twenty-four million, four hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 228103 456206 684309 912412 1140515 1368618 1640423 2281030 2737236 3280846 3421545 4562060 4921269 6561692 6843090 8202115 9842538 13686180 16404230 19685076 24606345 32808460 49212690 98425380 374185407569 748370815138 1122556222707 1496741630276 1870927037845 2245112445414 3741854075690 4490224890828 5612781113535 7483708151380 11225562227070 22451124454140