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190144422 = 234131747113
BaseRepresentation
bin10110101010101…
…01111110100110
3111020210100010000
423111111332212
5342134110142
630511242130
74466125626
oct1325257646
9436710100
10190144422
1198371356
1253819346
13305163c0
141b378886
1511a5e14c
hexb555fa6

190144422 has 160 divisors (see below), whose sum is σ = 500556672. Its totient is φ = 53415936.

The previous prime is 190144417. The next prime is 190144453. The reversal of 190144422 is 224441091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1682638 + ... + 1682750.

Almost surely, 2190144422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190144422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278336).

190144422 is an abundant number, since it is smaller than the sum of its proper divisors (310412250).

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

190144422 is a wasteful number, since it uses less digits than its factorization.

190144422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 190144422 is about 13789.2864935065. The cubic root of 190144422 is about 575.0353319184.

It can be divided in two parts, 19014 and 4422, that added together give a triangular number (23436 = T216).

The spelling of 190144422 in words is "one hundred ninety million, one hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 47 51 54 78 81 94 102 113 117 141 153 162 221 226 234 282 306 339 351 423 442 459 611 663 678 702 799 846 918 1017 1053 1222 1269 1326 1377 1469 1598 1833 1921 1989 2034 2106 2397 2538 2754 2938 3051 3666 3807 3842 3978 4407 4794 5311 5499 5763 5967 6102 7191 7614 8814 9153 10387 10622 10998 11526 11934 13221 14382 15933 16497 17289 17901 18306 20774 21573 24973 26442 31161 31866 32994 34578 35802 39663 43146 47799 49491 49946 51867 62322 64719 69043 74919 79326 90287 93483 95598 98982 103734 118989 129438 138086 143397 149838 155601 180574 186966 207129 224757 237978 270861 280449 286794 311202 414258 430191 449514 541722 560898 621387 674271 812583 841347 860382 1173731 1242774 1348542 1625166 1682694 1864161 2022813 2347462 2437749 3521193 3728322 4045626 4875498 5592483 7042386 7313247 10563579 11184966 14626494 21127158 31690737 63381474 95072211 190144422