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1234400022 = 23217291131231
BaseRepresentation
bin100100110010011…
…0111001100010110
310012000202000111100
41021210313030112
510012001300042
6322253250530
742406140612
oct11144671426
93160660440
101234400022
11583872009
122a5493a46
1316897a11b
14b9d26342
157358324c
hex49937316

1234400022 has 96 divisors (see below), whose sum is σ = 2957834880. Its totient is φ = 370298880.

The previous prime is 1234400021. The next prime is 1234400047. The reversal of 1234400022 is 2200044321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1234399968 and 1234400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234400021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002147 + ... + 1003377.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 21234400022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234400022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440).

1234400022 is an abundant number, since it is smaller than the sum of its proper divisors (1723434858).

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

1234400022 is a wasteful number, since it uses less digits than its factorization.

1234400022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1234400022 is about 35134.0294017068. The cubic root of 1234400022 is about 1072.7173550052.

Adding to 1234400022 its reverse (2200044321), we get a palindrome (3434444343).

The spelling of 1234400022 in words is "one billion, two hundred thirty-four million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 113 153 174 226 261 306 339 493 522 678 986 1017 1231 1479 1921 2034 2462 2958 3277 3693 3842 4437 5763 6554 7386 8874 9831 11079 11526 17289 19662 20927 22158 29493 34578 35699 41854 55709 58986 62781 71398 107097 111418 125562 139103 167127 188343 214194 278206 321291 334254 376686 417309 501381 606883 642582 834618 1002762 1213766 1251927 1820649 2364751 2503854 3641298 4033987 4729502 5461947 7094253 8067974 10923894 12101961 14188506 21282759 24203922 36305883 42565518 68577779 72611766 137155558 205733337 411466674 617200011 1234400022