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2553620220 = 22325412291511
BaseRepresentation
bin1001100000110101…
…0010011011111100
320120222002100101200
42120031102123330
520212211321340
61101220535500
7120165261624
oct23015223374
96528070350
102553620220
1110a04a7738
125b3251590
133190845a8
141a320b884
15ee2bd330
hex983526fc

2553620220 has 144 divisors (see below), whose sum is σ = 7974832320. Its totient is φ = 661017600.

The previous prime is 2553620191. The next prime is 2553620233. The reversal of 2553620220 is 220263552.

2553620220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1689265 + ... + 1690775.

It is an arithmetic number, because the mean of its divisors is an integer number (55380780).

Almost surely, 22553620220 is an apocalyptic number.

2553620220 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 2553620220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987416160).

2553620220 is an abundant number, since it is smaller than the sum of its proper divisors (5421212100).

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

2553620220 is a wasteful number, since it uses less digits than its factorization.

2553620220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2553620220 is about 50533.3574977955. The cubic root of 2553620220 is about 1366.8434297112.

Adding to 2553620220 its reverse (220263552), we get a palindrome (2773883772).

The spelling of 2553620220 in words is "two billion, five hundred fifty-three million, six hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 229 246 369 410 458 492 615 687 738 820 916 1145 1230 1374 1476 1511 1845 2061 2290 2460 2748 3022 3435 3690 4122 4533 4580 6044 6870 7380 7555 8244 9066 9389 10305 13599 13740 15110 18132 18778 20610 22665 27198 28167 30220 37556 41220 45330 46945 54396 56334 61951 67995 84501 90660 93890 112668 123902 135990 140835 169002 185853 187780 247804 271980 281670 309755 338004 346019 371706 422505 557559 563340 619510 692038 743412 845010 929265 1038057 1115118 1239020 1384076 1690020 1730095 1858530 2076114 2230236 2787795 3114171 3460190 3717060 4152228 5190285 5575590 6228342 6920380 10380570 11151180 12456684 14186779 15570855 20761140 28373558 31141710 42560337 56747116 62283420 70933895 85120674 127681011 141867790 170241348 212801685 255362022 283735580 425603370 510724044 638405055 851206740 1276810110 2553620220