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22132001142 = 236127711887
BaseRepresentation
bin10100100111001010…
…111000100101110110
32010010102021011000000
4110213022320211312
5330311243014032
614100045332130
71412310622446
oct244712704566
963112234000
1022132001142
119427a35039
124357b67046
1321192bb584
1410dd502126
15898004e7c
hex5272b8976

22132001142 has 56 divisors (see below), whose sum is σ = 49817401056. Its totient is φ = 7370936496.

The previous prime is 22132001119. The next prime is 22132001147. The reversal of 22132001142 is 24110023122.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132001147) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1855923 + ... + 1867809.

Almost surely, 222132001142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132001142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24908700528).

22132001142 is an abundant number, since it is smaller than the sum of its proper divisors (27685399914).

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

22132001142 is a wasteful number, since it uses less digits than its factorization.

22132001142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13184 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22132001142 its reverse (24110023122), we get a palindrome (46242024264).

The spelling of 22132001142 in words is "twenty-two billion, one hundred thirty-two million, one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1277 1458 2554 3831 7662 11493 11887 22986 23774 34479 35661 68958 71322 103437 106983 206874 213966 310311 320949 620622 641898 930933 962847 1861866 1925694 2888541 5777082 8665623 15179699 17331246 30359398 45539097 91078194 136617291 273234582 409851873 819703746 1229555619 2459111238 3688666857 7377333714 11066000571 22132001142