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22143400422 = 231113417691
BaseRepresentation
bin10100100111110110…
…010111100111100110
32010011012201021212120
4110213312113213212
5330322202303142
614101133530410
71412506540503
oct244766274746
963135637776
1022143400422
119433410530
12435b943a06
13211b780000
141100c2c4aa
158990077ec
hex527d979e6

22143400422 has 160 divisors (see below), whose sum is σ = 55497757824. Its totient is φ = 5821171200.

The previous prime is 22143400381. The next prime is 22143400423. The reversal of 22143400422 is 22400434122.

It is a junction number, because it is equal to n+sod(n) for n = 22143400392 and 22143400401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143400423) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32045097 + ... + 32045787.

Almost surely, 222143400422 is an apocalyptic number.

22143400422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143400422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27748878912).

22143400422 is an abundant number, since it is smaller than the sum of its proper divisors (33354357402).

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

22143400422 is a wasteful number, since it uses less digits than its factorization.

22143400422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22143400422 its reverse (22400434122), we get a palindrome (44543834544).

The spelling of 22143400422 in words is "twenty-two billion, one hundred forty-three million, four hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 169 187 221 286 338 374 429 442 507 561 663 691 858 1014 1122 1326 1382 1859 2073 2197 2431 2873 3718 4146 4394 4862 5577 5746 6591 7293 7601 8619 8983 11154 11747 13182 14586 15202 17238 17966 22803 23494 24167 26949 28561 31603 35241 37349 45606 48334 53898 57122 63206 70482 72501 74698 85683 94809 98813 112047 116779 129217 145002 152711 171366 189618 197626 224094 233558 258434 296439 305422 314171 350337 387651 410839 458133 485537 592878 628342 700674 775302 821678 916266 942513 971074 1232517 1284569 1456611 1518127 1679821 1885026 1985243 2465034 2569138 2913222 3036254 3359642 3853707 3970486 4554381 5039463 5340907 5955729 7707414 9108762 10078926 10681814 11911458 16022721 16699397 19735651 21837673 25808159 32045442 33398794 39471302 43675346 50098191 51616318 59206953 65513019 77424477 100196382 118413906 131026038 154848954 217092161 283889749 335506067 434184322 567779498 651276483 671012134 851669247 1006518201 1302552966 1703338494 2013036402 3690566737 7381133474 11071700211 22143400422