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2253848220 = 2233513224697
BaseRepresentation
bin1000011001010110…
…1111111010011100
312211002000100112000
42012111233322130
514103441120340
61011351442300
7106565252031
oct20625577234
95732010460
102253848220
11a57269588
1252a986390
1329bc36500
14175497388
15d2d06d30
hex8656fe9c

2253848220 has 144 divisors (see below), whose sum is σ = 7593153120. Its totient is φ = 554770944.

The previous prime is 2253848213. The next prime is 2253848221. The reversal of 2253848220 is 228483522.

2253848220 is a `hidden beast` number, since 22 + 538 + 4 + 82 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253848221) 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, 78912 + ... + 103608.

It is an arithmetic number, because the mean of its divisors is an integer number (52730230).

Almost surely, 22253848220 is an apocalyptic number.

2253848220 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 2253848220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796576560).

2253848220 is an abundant number, since it is smaller than the sum of its proper divisors (5339304900).

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

2253848220 is a wasteful number, since it uses less digits than its factorization.

2253848220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24741 (or 24720 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2253848220 is about 47474.7113735302. The cubic root of 2253848220 is about 1311.1173226801.

The spelling of 2253848220 in words is "two billion, two hundred fifty-three million, eight hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 24697 30420 45630 49394 74091 91260 98788 123485 148182 222273 246970 296364 321061 370455 444546 493940 642122 666819 740910 889092 963183 1111365 1284244 1333638 1481820 1605305 1926366 2222730 2667276 2889549 3210610 3334095 3852732 4173793 4445460 4815915 5779098 6421220 6668190 8347586 8668647 9631830 11558196 12521379 13336380 14447745 16695172 17337294 19263660 20868965 25042758 28895490 34674588 37564137 41737930 43343235 50085516 57790980 62606895 75128274 83475860 86686470 112692411 125213790 150256548 173372940 187820685 225384822 250427580 375641370 450769644 563462055 751282740 1126924110 2253848220