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4220295930224 = 241161904943441
BaseRepresentation
bin111101011010011101001…
…111010110000101110000
3112221110022200100110121222
4331122131033112011300
51023121131224231344
612550435512204212
7613622603343263
oct75323517260560
915843280313558
104220295930224
1113878aa036620
12581b08699668
13247c83bc6a7a
14108398b3acda
1574ba61535ee
hex3d69d3d6170

4220295930224 has 80 divisors (see below), whose sum is σ = 9067613906400. Its totient is φ = 1886616576000.

The previous prime is 4220295930217. The next prime is 4220295930229. The reversal of 4220295930224 is 4220395920224.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220295930229) 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, 97128344 + ... + 97171784.

It is an arithmetic number, because the mean of its divisors is an integer number (113345173830).

Almost surely, 24220295930224 is an apocalyptic number.

4220295930224 is a gapful number since it is divisible by the number (44) 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 4220295930224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533806953200).

4220295930224 is an abundant number, since it is smaller than the sum of its proper divisors (4847317976176).

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

4220295930224 is a wasteful number, since it uses less digits than its factorization.

4220295930224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52570 (or 52564 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 4220295930224 in words is "four trillion, two hundred twenty billion, two hundred ninety-five million, nine hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 9049 10736 18098 36196 43441 72392 86882 99539 144784 173764 199078 347528 398156 477851 551989 695056 796312 955702 1103978 1592624 1911404 2207956 2649901 3822808 4415912 5299802 6071879 7645616 8831824 10599604 12143758 21199208 24287516 29148911 42398416 48575032 58297822 97150064 116595644 233191288 393097609 466382576 786195218 1572390436 3144780872 4324073699 6289561744 8648147398 17296294796 23978954149 34592589592 47957908298 69185179184 95915816596 191831633192 263768495639 383663266384 527536991278 1055073982556 2110147965112 4220295930224