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2553360220 = 2251719271293
BaseRepresentation
bin1001100000110001…
…0010111101011100
320120221121010202001
42120030102331130
520212130011340
61101211212044
7120163126615
oct23014227534
96527533661
102553360220
1110a033a364
125b3147024
13318cc3148
141a3180c0c
15ee26b29a
hex98312f5c

2553360220 has 144 divisors (see below), whose sum is σ = 6097146048. Its totient is φ = 894781440.

The previous prime is 2553360193. The next prime is 2553360233. The reversal of 2553360220 is 220633552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8714394 + ... + 8714686.

It is an arithmetic number, because the mean of its divisors is an integer number (42341292).

Almost surely, 22553360220 is an apocalyptic number.

2553360220 is a gapful number since it is divisible by the number (20) 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 2553360220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048573024).

2553360220 is an abundant number, since it is smaller than the sum of its proper divisors (3543785828).

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

2553360220 is a wasteful number, since it uses less digits than its factorization.

2553360220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2553360220 is about 50530.7848741735. The cubic root of 2553360220 is about 1366.7970391855.

Adding to 2553360220 its reverse (220633552), we get a palindrome (2773993772).

The spelling of 2553360220 in words is "two billion, five hundred fifty-three million, three hundred sixty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 170 190 284 293 323 340 355 361 380 586 646 710 722 1172 1207 1292 1349 1420 1444 1465 1615 1805 2414 2698 2930 3230 3610 4828 4981 5396 5567 5860 6035 6137 6460 6745 7220 9962 11134 12070 12274 13490 19924 20803 22268 22933 24140 24548 24905 25631 26980 27835 30685 41606 45866 49810 51262 55670 61370 83212 91732 94639 99620 102524 104015 105773 111340 114665 122740 128155 189278 208030 211546 229330 256310 353651 378556 395257 416060 423092 435727 458660 473195 512620 528865 707302 790514 871454 946390 1057730 1414604 1581028 1742908 1768255 1798141 1892780 1976285 2115460 2178635 3536510 3596282 3952570 4357270 6719369 7073020 7192564 7509883 7905140 8714540 8990705 13438738 15019766 17981410 26877476 30039532 33596845 35962820 37549415 67193690 75098830 127668011 134387380 150197660 255336022 510672044 638340055 1276680110 2553360220