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145033500 = 22353313119
BaseRepresentation
bin10001010010100…
…00100100011100
3101002220110120010
420221100210130
5244112033000
622220323220
73410523123
oct1051204434
9332813503
10145033500
117495a8a7
12406a3510
1324080451
1415394aba
15caecd50
hex8a5091c

145033500 has 96 divisors (see below), whose sum is σ = 436101120. Its totient is φ = 37416000.

The previous prime is 145033489. The next prime is 145033501. The reversal of 145033500 is 5330541.

It is a super-2 number, since 2×1450335002 = 42069432244500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145033501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44941 + ... + 48059.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2145033500 is an apocalyptic number.

145033500 is a gapful number since it is divisible by the number (10) 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 145033500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218050560).

145033500 is an abundant number, since it is smaller than the sum of its proper divisors (291067620).

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

145033500 is a wasteful number, since it uses less digits than its factorization.

145033500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 145033500 is about 12042.9855102462. The cubic root of 145033500 is about 525.3992427991.

The spelling of 145033500 in words is "one hundred forty-five million, thirty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1500 1550 1860 2325 3100 3119 3875 4650 6238 7750 9300 9357 11625 12476 15500 15595 18714 23250 31190 37428 46500 46785 62380 77975 93570 96689 155950 187140 193378 233925 290067 311900 386756 389875 467850 483445 580134 779750 935700 966890 1160268 1169625 1450335 1559500 1933780 2339250 2417225 2900670 4678500 4834450 5801340 7251675 9668900 12086125 14503350 24172250 29006700 36258375 48344500 72516750 145033500