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145332330 = 2351113191783
BaseRepresentation
bin10001010100110…
…01100001101010
3101010110122110220
420222121201222
5244201113310
622230550510
73413206263
oct1052314152
9333418426
10145332330
1175044370
1240808436
1324156480
141543196a
15cb5b670
hex8a9986a

145332330 has 128 divisors (see below), whose sum is σ = 431585280. Its totient is φ = 30792960.

The previous prime is 145332329. The next prime is 145332347. The reversal of 145332330 is 33233541.

145332330 = T120 + T121 + ... + T955.

It is a happy number.

It is a super-2 number, since 2×1453323302 = 42242972286457800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145332330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80619 + ... + 82401.

It is an arithmetic number, because the mean of its divisors is an integer number (3371760).

Almost surely, 2145332330 is an apocalyptic number.

145332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215792640).

145332330 is an abundant number, since it is smaller than the sum of its proper divisors (286252950).

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

145332330 is a wasteful number, since it uses less digits than its factorization.

145332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 145332330 is about 12055.3859332665. The cubic root of 145332330 is about 525.7598430440.

Adding to 145332330 its reverse (33233541), we get a palindrome (178565871).

The spelling of 145332330 in words is "one hundred forty-five million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 570 627 715 741 858 1045 1235 1254 1430 1482 1783 2090 2145 2470 2717 3135 3566 3705 4290 5349 5434 6270 7410 8151 8915 10698 13585 16302 17830 19613 23179 26745 27170 33877 39226 40755 46358 53490 58839 67754 69537 81510 98065 101631 115895 117678 139074 169385 196130 203262 231790 254969 294195 338770 347685 372647 440401 508155 509938 588390 695370 745294 764907 880802 1016310 1117941 1274845 1321203 1529814 1863235 2202005 2235882 2549690 2642406 3726470 3824535 4404010 4844411 5589705 6606015 7649070 9688822 11179410 13212030 14533233 24222055 29066466 48444110 72666165 145332330