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145025232 = 2431117107151
BaseRepresentation
bin10001010010011…
…10100011010000
3101002220001012220
420221032203100
5244111301412
622220221040
73410460042
oct1051164320
9332801186
10145025232
1174954670
124069a780
1324079761
1415391a92
15caea68c
hex8a4e8d0

145025232 has 160 divisors (see below), whose sum is σ = 439686144. Its totient is φ = 40704000.

The previous prime is 145025227. The next prime is 145025273. The reversal of 145025232 is 232520541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960357 + ... + 960507.

Almost surely, 2145025232 is an apocalyptic number.

145025232 is a gapful number since it is divisible by the number (12) 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 145025232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219843072).

145025232 is an abundant number, since it is smaller than the sum of its proper divisors (294660912).

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

145025232 is a wasteful number, since it uses less digits than its factorization.

145025232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 145025232 is about 12042.6422349915. The cubic root of 145025232 is about 525.3892587070.

Adding to 145025232 its reverse (232520541), we get a palindrome (377545773).

The spelling of 145025232 in words is "one hundred forty-five million, twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 107 132 136 151 176 187 204 214 264 272 302 321 374 408 428 453 528 561 604 642 748 816 856 906 1122 1177 1208 1284 1496 1661 1712 1812 1819 2244 2354 2416 2567 2568 2992 3322 3531 3624 3638 4488 4708 4983 5134 5136 5457 6644 7062 7248 7276 7701 8976 9416 9966 10268 10914 13288 14124 14552 15402 16157 18832 19932 20009 20536 21828 26576 28237 28248 29104 30804 32314 39864 40018 41072 43656 48471 56474 56496 60027 61608 64628 79728 80036 84711 87312 96942 112948 120054 123216 129256 160072 169422 177727 193884 225896 240108 258512 274669 320144 338844 355454 387768 451792 480216 533181 549338 677688 710908 775536 824007 960432 1066362 1098676 1355376 1421816 1648014 2132724 2197352 2843632 3021359 3296028 4265448 4394704 6042718 6592056 8530896 9064077 12085436 13184112 18128154 24170872 36256308 48341744 72512616 145025232