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2255340540 = 2235431316673
BaseRepresentation
bin1000011001101101…
…1100001111111100
312211011211011121010
42012123130033330
514104331344130
61011443435220
7106614035565
oct20633341774
95734734533
102255340540
11a58098802
1252b385b10
1329c33983b
1417576516c
15d2eee0b0
hex866dc3fc

2255340540 has 96 divisors (see below), whose sum is σ = 6512115456. Its totient is φ = 582865920.

The previous prime is 2255340539. The next prime is 2255340557. The reversal of 2255340540 is 450435522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2255340498 and 2255340507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334644 + ... + 341316.

It is an arithmetic number, because the mean of its divisors is an integer number (67834536).

Almost surely, 22255340540 is an apocalyptic number.

2255340540 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 2255340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256057728).

2255340540 is an abundant number, since it is smaller than the sum of its proper divisors (4256774916).

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

2255340540 is a wasteful number, since it uses less digits than its factorization.

2255340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2255340540 is about 47490.4257719385. The cubic root of 2255340540 is about 1311.4066315619.

The spelling of 2255340540 in words is "two billion, two hundred fifty-five million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 131 172 215 258 262 393 430 516 524 645 655 786 860 1290 1310 1572 1965 2580 2620 3930 5633 6673 7860 11266 13346 16899 20019 22532 26692 28165 33365 33798 40038 56330 66730 67596 80076 84495 100095 112660 133460 168990 200190 286939 337980 400380 573878 860817 874163 1147756 1434695 1721634 1748326 2622489 2869390 3443268 3496652 4304085 4370815 5244978 5738780 8608170 8741630 10489956 13112445 17216340 17483260 26224890 37589009 52449780 75178018 112767027 150356036 187945045 225534054 375890090 451068108 563835135 751780180 1127670270 2255340540