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1350608220 = 22325131633541
BaseRepresentation
bin101000010000000…
…1010010101011100
310111010102000011200
41100200022111130
510231223430340
6342004115500
745316660203
oct12040122534
93433360150
101350608220
11633423a45
12318395b90
13186a77180
14cb53623a
157d88a330
hex5080a55c

1350608220 has 144 divisors (see below), whose sum is σ = 4440307872. Its totient is φ = 330324480.

The previous prime is 1350608219. The next prime is 1350608227. The reversal of 1350608220 is 228060531.

1350608220 is a `hidden beast` number, since 1 + 3 + 50 + 608 + 2 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350608227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379650 + ... + 383190.

Almost surely, 21350608220 is an apocalyptic number.

1350608220 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 1350608220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220153936).

1350608220 is an abundant number, since it is smaller than the sum of its proper divisors (3089699652).

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

1350608220 is a wasteful number, since it uses less digits than its factorization.

1350608220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1350608220 is about 36750.6220355520. The cubic root of 1350608220 is about 1105.3754025713.

Adding to 1350608220 its reverse (228060531), we get a palindrome (1578668751).

The spelling of 1350608220 in words is "one billion, three hundred fifty million, six hundred eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 163 180 195 234 260 326 390 468 489 585 652 780 815 978 1170 1467 1630 1956 2119 2340 2445 2934 3260 3541 4238 4890 5868 6357 7082 7335 8476 9780 10595 10623 12714 14164 14670 17705 19071 21190 21246 25428 29340 31785 31869 35410 38142 42380 42492 46033 53115 63570 63738 70820 76284 92066 95355 106230 127140 127476 138099 159345 184132 190710 212460 230165 276198 318690 381420 414297 460330 552396 577183 637380 690495 828594 920660 1154366 1380990 1657188 1731549 2071485 2308732 2761980 2885915 3463098 4142970 5194647 5771830 6926196 7503379 8285940 8657745 10389294 11543660 15006758 17315490 20778588 22510137 25973235 30013516 34630980 37516895 45020274 51946470 67530411 75033790 90040548 103892940 112550685 135060822 150067580 225101370 270121644 337652055 450202740 675304110 1350608220