Search a number
-
+
205222035040 = 25511157742697
BaseRepresentation
bin1011111100100000101…
…1111011111001100000
3201121201021110112212121
42333020023323321200
511330243320110130
6234135552234024
720553410341651
oct2771013737140
9647637415777
10205222035040
117a041541440
123393453b914
131647717b839
149d0b85d528
155511b38d7a
hex2fc82fbe60

205222035040 has 96 divisors (see below), whose sum is σ = 532282744224. Its totient is φ = 74150768640.

The previous prime is 205222034993. The next prime is 205222035097. The reversal of 205222035040 is 40530222502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205222034996 and 205222035014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95029 + ... + 647668.

It is an arithmetic number, because the mean of its divisors is an integer number (5544611919).

Almost surely, 2205222035040 is an apocalyptic number.

205222035040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205222035040 is an abundant number, since it is smaller than the sum of its proper divisors (327060709184).

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

205222035040 is a wasteful number, since it uses less digits than its factorization.

205222035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742880 (or 742872 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 205222035040 its reverse (40530222502), we get a palindrome (245752257542).

The spelling of 205222035040 in words is "two hundred five billion, two hundred twenty-two million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 314 352 440 628 785 880 1256 1570 1727 1760 2512 3140 3454 5024 6280 6908 8635 12560 13816 17270 25120 27632 34540 55264 69080 138160 276320 742697 1485394 2970788 3713485 5941576 7426970 8169667 11883152 14853940 16339334 23766304 29707880 32678668 40848335 59415760 65357336 81696670 116603429 118831520 130714672 163393340 233206858 261429344 326786680 466413716 583017145 653573360 932827432 1166034290 1282637719 1307146720 1865654864 2332068580 2565275438 3731309728 4664137160 5130550876 6413188595 9328274320 10261101752 12826377190 18656548640 20522203504 25652754380 41044407008 51305508760 102611017520 205222035040