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145922084 = 227111729312
BaseRepresentation
bin10001011001010…
…01100000100100
3101011120121110122
420230221200210
5244324001314
622251341112
73421213550
oct1054514044
9334517418
10145922084
1175407470
1240a51798
1324301a39
1415546860
15cc2628e
hex8b29824

145922084 has 144 divisors (see below), whose sum is σ = 360339840. Its totient is φ = 49996800.

The previous prime is 145922059. The next prime is 145922129. The reversal of 145922084 is 480229541.

145922084 = 323 + 333 + ... + 1553.

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, 4707149 + ... + 4707179.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 2145922084 is an apocalyptic number.

145922084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145922084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180169920).

145922084 is an abundant number, since it is smaller than the sum of its proper divisors (214417756).

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

145922084 is a wasteful number, since it uses less digits than its factorization.

145922084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 145922084 is about 12079.8213562950. The cubic root of 145922084 is about 526.4700555085.

It can be divided in two parts, 145 and 922084, that added together give a palindrome (922229).

The spelling of 145922084 in words is "one hundred forty-five million, nine hundred twenty-two thousand, eighty-four".

Divisors: 1 2 4 7 11 14 17 22 28 29 31 34 44 58 62 68 77 116 119 124 154 187 203 217 238 308 319 341 374 406 434 476 493 527 638 682 748 812 868 899 961 986 1054 1276 1309 1364 1798 1922 1972 2108 2233 2387 2618 3451 3596 3689 3844 4466 4774 5236 5423 5797 6293 6727 6902 7378 8932 9548 9889 10571 10846 11594 12586 13454 13804 14756 15283 16337 19778 21142 21692 23188 25172 26908 27869 30566 32674 37961 39556 40579 42284 55738 61132 65348 69223 73997 75922 81158 106981 111476 114359 138446 147994 151844 162316 168113 179707 195083 213962 228718 276892 295988 306559 336226 359414 390166 427924 457436 473773 613118 672452 718828 780332 947546 1176791 1226236 1257949 1895092 2145913 2353582 2515898 3316411 4291826 4707164 5031796 5211503 6632822 8583652 10423006 13265644 20846012 36480521 72961042 145922084