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145064220 = 223572315017
BaseRepresentation
bin10001010010110…
…00000100011100
3101002222000200220
420221120010130
5244114023340
622221121340
73411011520
oct1051300434
9332860626
10145064220
1174980994
12406b9250
1324091422
14153a1d80
15cb06ed0
hex8a5811c

145064220 has 96 divisors (see below), whose sum is σ = 484420608. Its totient is φ = 31713792.

The previous prime is 145064219. The next prime is 145064237. The reversal of 145064220 is 22460541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2152 + ... + 17168.

It is an arithmetic number, because the mean of its divisors is an integer number (5046048).

Almost surely, 2145064220 is an apocalyptic number.

145064220 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 145064220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242210304).

145064220 is an abundant number, since it is smaller than the sum of its proper divisors (339356388).

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

145064220 is a wasteful number, since it uses less digits than its factorization.

145064220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15059 (or 15057 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145064220 is about 12044.2608739598. The cubic root of 145064220 is about 525.4363356669.

The spelling of 145064220 in words is "one hundred forty-five million, sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 15017 30034 45051 60068 75085 90102 105119 150170 180204 210238 225255 300340 315357 345391 420476 450510 525595 630714 690782 901020 1036173 1051190 1261428 1381564 1576785 1726955 2072346 2102380 2417737 3153570 3453910 4144692 4835474 5180865 6307140 6907820 7253211 9670948 10361730 12088685 14506422 20723460 24177370 29012844 36266055 48354740 72532110 145064220