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22129222242631 = 737974318116199
BaseRepresentation
bin1010000100000010111000…
…11011100101000101000111
32220100112101112202102201011
411002001130123211011013
510400031121343231011
6115022005132143051
74442532520330060
oct502013433450507
986315345672634
1022129222242631
117061a50059369
12259495b907a87
13c46a13556b6a
145670bab9b567
15285972795621
hex14205c6e5147

22129222242631 has 32 divisors (see below), whose sum is σ = 25409516544000. Its totient is φ = 18878918093280.

The previous prime is 22129222242607. The next prime is 22129222242649. The reversal of 22129222242631 is 13624222292122.

It is a happy number.

It is not a de Polignac number, because 22129222242631 - 223 = 22129213854023 is a prime.

It is a super-2 number, since 2×221292222426312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22129222242691) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3569802070 + ... + 3569808268.

It is an arithmetic number, because the mean of its divisors is an integer number (794047392000).

Almost surely, 222129222242631 is an apocalyptic number.

22129222242631 is a deficient number, since it is larger than the sum of its proper divisors (3280294301369).

22129222242631 is a wasteful number, since it uses less digits than its factorization.

22129222242631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139.

The product of its digits is 165888, while the sum is 40.

The spelling of 22129222242631 in words is "twenty-two trillion, one hundred twenty-nine billion, two hundred twenty-two million, two hundred forty-two thousand, six hundred thirty-one".

Divisors: 1 7 379 743 1811 2653 5201 6199 12677 43393 281597 686369 1345573 1971179 2349421 4605857 4804583 9419011 11226389 16445947 32240999 78584723 509972167 1745619803 3569805169 4254801431 8341207027 12219338621 29783610017 58388449189 3161317463233 22129222242631