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10422021438 = 2337916714629
BaseRepresentation
bin10011011010011001…
…10110110100111110
3222220022212112201000
421231030312310332
5132321014141223
64442100031130
7516160502103
oct115514666476
928808775630
1010422021438
114468a60a64
12202a3924a6
13ca126c2ba
1470c21aaaa
1540ee71543
hex26d336d3e

10422021438 has 64 divisors (see below), whose sum is σ = 23595264000. Its totient is φ = 3409260192.

The previous prime is 10422021437. The next prime is 10422021457. The reversal of 10422021438 is 83412022401.

10422021438 is a `hidden beast` number, since 1 + 0 + 4 + 220 + 2 + 1 + 438 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422021437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705108 + ... + 719736.

It is an arithmetic number, because the mean of its divisors is an integer number (368676000).

Almost surely, 210422021438 is an apocalyptic number.

10422021438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422021438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797632000).

10422021438 is an abundant number, since it is smaller than the sum of its proper divisors (13173242562).

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

10422021438 is a wasteful number, since it uses less digits than its factorization.

10422021438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10422021438 its reverse (83412022401), we get a palindrome (93834043839).

The spelling of 10422021438 in words is "ten billion, four hundred twenty-two million, twenty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 79 158 167 237 334 474 501 711 1002 1422 1503 2133 3006 4266 4509 9018 13193 14629 26386 29258 39579 43887 79158 87774 118737 131661 237474 263322 356211 394983 712422 789966 1155691 2311382 2443043 3467073 4886086 6934146 7329129 10401219 14658258 20802438 21987387 31203657 43974774 62407314 65962161 131924322 193000397 386000794 579001191 1158002382 1737003573 3474007146 5211010719 10422021438