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145335330 = 23357131587
BaseRepresentation
bin10001010100110…
…10010000100010
3101010110210121000
420222122100202
5244201212310
622231012430
73413221110
oct1052322042
9333423530
10145335330
1175046648
124080a116
132415794a
1415432ab0
15cb5c4c0
hex8a9a422

145335330 has 128 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 32909760.

The previous prime is 145335319. The next prime is 145335331. The reversal of 145335330 is 33533541.

It is a happy number.

It is a super-2 number, since 2×1453353302 = 42244716292417800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145335294 and 145335303.

It is not an unprimeable number, because it can be changed into a prime (145335331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247297 + ... + 247883.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2145335330 is an apocalyptic number.

145335330 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 145335330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

145335330 is an abundant number, since it is smaller than the sum of its proper divisors (301732830).

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

145335330 is a wasteful number, since it uses less digits than its factorization.

145335330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 145335330 is about 12055.5103583382. The cubic root of 145335330 is about 525.7634606577.

Adding to 145335330 its reverse (33533541), we get a palindrome (178868871).

The spelling of 145335330 in words is "one hundred forty-five million, three hundred thirty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 131 135 189 210 262 270 315 378 393 587 630 655 786 917 945 1174 1179 1310 1761 1834 1890 1965 2358 2751 2935 3522 3537 3930 4109 4585 5283 5502 5870 5895 7074 8218 8253 8805 9170 10566 11790 12327 13755 15849 16506 17610 17685 20545 24654 24759 26415 27510 31698 35370 36981 41090 41265 49518 52830 61635 73962 76897 79245 82530 110943 123270 123795 153794 158490 184905 221886 230691 247590 369810 384485 461382 538279 554715 692073 768970 1076558 1109430 1153455 1384146 1614837 2076219 2306910 2691395 3229674 3460365 4152438 4844511 5382790 6920730 8074185 9689022 10381095 14533533 16148370 20762190 24222555 29067066 48445110 72667665 145335330