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1355450220 = 2233514271759
BaseRepresentation
bin101000011001010…
…1000011101101100
310111110112000011000
41100302220131230
510233443401340
6342300000300
745406064625
oct12062503554
93443460130
101355450220
116361308a3
12319b30090
13187a81067
14cc036a4c
157dee4d30
hex50ca876c

1355450220 has 96 divisors (see below), whose sum is σ = 4222310400. Its totient is φ = 360994752.

The previous prime is 1355450219. The next prime is 1355450251. The reversal of 1355450220 is 220545531.

It is a happy number.

1355450220 is a `hidden beast` number, since 135 + 5 + 4 + 502 + 20 = 666.

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

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, 769701 + ... + 771459.

It is an arithmetic number, because the mean of its divisors is an integer number (43982400).

Almost surely, 21355450220 is an apocalyptic number.

1355450220 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 1355450220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111155200).

1355450220 is an abundant number, since it is smaller than the sum of its proper divisors (2866860180).

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

1355450220 is a wasteful number, since it uses less digits than its factorization.

1355450220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1355450220 is about 36816.4395345340. The cubic root of 1355450220 is about 1106.6947697336.

Adding to 1355450220 its reverse (220545531), we get a palindrome (1575995751).

The spelling of 1355450220 in words is "one billion, three hundred fifty-five million, four hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1427 1759 2854 3518 4281 5277 5708 7036 7135 8562 8795 10554 12843 14270 15831 17124 17590 21108 21405 25686 26385 28540 31662 35180 38529 42810 47493 51372 52770 63324 64215 77058 79155 85620 94986 105540 128430 154116 158310 189972 192645 237465 256860 316620 385290 474930 770580 949860 2510093 5020186 7530279 10040372 12550465 15060558 22590837 25100930 30121116 37651395 45181674 50201860 67772511 75302790 90363348 112954185 135545022 150605580 225908370 271090044 338862555 451816740 677725110 1355450220