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2553320220 = 2235112438179
BaseRepresentation
bin1001100000110000…
…1001001100011100
320120221112002212120
42120030021030130
520212122221340
61101210302540
7120162602163
oct23014111434
96527462776
102553320220
1110a0312300
125b3127a50
13318caab89
141a31703da
15ee25e4d0
hex9830931c

2553320220 has 144 divisors (see below), whose sum is σ = 8042052480. Its totient is φ = 604517760.

The previous prime is 2553320213. The next prime is 2553320221. The reversal of 2553320220 is 220233552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553320221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308091 + ... + 316269.

Almost surely, 22553320220 is an apocalyptic number.

2553320220 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 2553320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021026240).

2553320220 is an abundant number, since it is smaller than the sum of its proper divisors (5488732260).

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

2553320220 is a wasteful number, since it uses less digits than its factorization.

2553320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2553320220 is about 50530.3890742986. The cubic root of 2553320220 is about 1366.7899019020.

Adding to 2553320220 its reverse (220233552), we get a palindrome (2773553772).

It can be divided in two parts, 25533 and 20220, that added together give a triangular number (45753 = T302).

The spelling of 2553320220 in words is "two billion, five hundred fifty-three million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 330 363 430 473 484 516 605 645 660 726 860 946 1210 1290 1419 1452 1815 1892 2365 2420 2580 2838 3630 4730 5203 5676 7095 7260 8179 9460 10406 14190 15609 16358 20812 24537 26015 28380 31218 32716 40895 49074 52030 62436 78045 81790 89969 98148 104060 122685 156090 163580 179938 245370 269907 312180 351697 359876 449845 490740 539814 703394 899690 989659 1055091 1079628 1349535 1406788 1758485 1799380 1979318 2110182 2699070 2968977 3516970 3868667 3958636 4220364 4948295 5275455 5398140 5937954 7033940 7737334 9896590 10550910 11606001 11875908 14844885 15474668 19343335 19793180 21101820 23212002 29689770 38686670 42555337 46424004 58030005 59379540 77373340 85110674 116060010 127666011 170221348 212776685 232120020 255332022 425553370 510664044 638330055 851106740 1276660110 2553320220