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1142033022 = 2321383127463
BaseRepresentation
bin100010000010010…
…0000101001111110
32221120221021210100
41010010200221332
54314330024042
6305153421530
740205056224
oct10404405176
92846837710
101142033022
11536714349
1227a56a8a6
131527a99b0
14ab960b14
156a3da24c
hex44120a7e

1142033022 has 96 divisors (see below), whose sum is σ = 2723954688. Its totient is φ = 343683648.

The previous prime is 1142032993. The next prime is 1142033047. The reversal of 1142033022 is 2203302411.

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 = 1142032986 and 1142033004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2466363 + ... + 2466825.

It is an arithmetic number, because the mean of its divisors is an integer number (28374528).

Almost surely, 21142033022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142033022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361977344).

1142033022 is an abundant number, since it is smaller than the sum of its proper divisors (1581921666).

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

1142033022 is a wasteful number, since it uses less digits than its factorization.

1142033022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1142033022 is about 33793.9790791200. The cubic root of 1142033022 is about 1045.2645475385.

Adding to 1142033022 its reverse (2203302411), we get a palindrome (3345335433).

It can be divided in two parts, 114 and 2033022, that added together give a triangular number (2033136 = T2016).

The spelling of 1142033022 in words is "one billion, one hundred forty-two million, thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 127 166 234 249 254 381 463 498 747 762 926 1079 1143 1389 1494 1651 2158 2286 2778 3237 3302 4167 4953 6019 6474 8334 9711 9906 10541 12038 14859 18057 19422 21082 29718 31623 36114 38429 54171 58801 63246 76858 94869 108342 115287 117602 137033 176403 189738 230574 274066 345861 352806 411099 499577 529209 691722 764413 822198 999154 1058418 1233297 1498731 1528826 2293239 2466594 2997462 4496193 4586478 4880483 6879717 8992386 9760966 13759434 14641449 29282898 43924347 63446279 87848694 126892558 190338837 380677674 571016511 1142033022