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142022322 = 2361359127
BaseRepresentation
bin10000111011100…
…01011010110010
3100220020111000000
420131301122302
5242324203242
622032010430
73343112151
oct1035613262
9326214000
10142022322
1173193522
123b690a16
13235679a0
1414c0d598
15c705a4c
hex87716b2

142022322 has 112 divisors (see below), whose sum is σ = 352558080. Its totient is φ = 42620256.

The previous prime is 142022299. The next prime is 142022333. The reversal of 142022322 is 223220241.

142022322 is a `hidden beast` number, since 1 + 420 + 223 + 22 = 666.

142022322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 142022295 and 142022304.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1118223 + ... + 1118349.

It is an arithmetic number, because the mean of its divisors is an integer number (3147840).

Almost surely, 2142022322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142022322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176279040).

142022322 is an abundant number, since it is smaller than the sum of its proper divisors (210535758).

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

142022322 is a wasteful number, since it uses less digits than its factorization.

142022322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

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

The square root of 142022322 is about 11917.3118613217. The cubic root of 142022322 is about 521.7376803275.

Adding to 142022322 its reverse (223220241), we get a palindrome (365242563).

The spelling of 142022322 in words is "one hundred forty-two million, twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 81 117 118 127 162 177 234 243 254 351 354 381 486 531 702 729 762 767 1053 1062 1143 1458 1534 1593 1651 2106 2286 2301 3159 3186 3302 3429 4602 4779 4953 6318 6858 6903 7493 9477 9558 9906 10287 13806 14337 14859 14986 18954 20574 20709 22479 28674 29718 30861 41418 43011 44577 44958 61722 62127 67437 86022 89154 92583 97409 124254 133731 134874 185166 186381 194818 202311 267462 292227 372762 401193 404622 559143 584454 606933 802386 876681 1118286 1203579 1213866 1753362 1820799 2407158 2630043 3641598 5260086 5462397 7890129 10924794 15780258 23670387 47340774 71011161 142022322