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40225102200 = 233552827677
BaseRepresentation
bin100101011101100110…
…100101100101111000
310211211100121220200000
4211131212211211320
51124340111232300
630251255313000
72622546504303
oct453546454570
9124740556600
1040225102200
1116072026718
12796737b760
133a408b842a
141d38445b3a
1510a664dc00
hex95d9a5978

40225102200 has 144 divisors (see below), whose sum is σ = 140092778280. Its totient is φ = 10726680960.

The previous prime is 40225102157. The next prime is 40225102223. The reversal of 40225102200 is 220152204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365239 + ... + 462438.

Almost surely, 240225102200 is an apocalyptic number.

40225102200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40225102200 is an abundant number, since it is smaller than the sum of its proper divisors (99867676080).

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

40225102200 is a wasteful number, since it uses less digits than its factorization.

40225102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827708 (or 827687 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 40225102200 its reverse (220152204), we get a palindrome (40445254404).

The spelling of 40225102200 in words is "forty billion, two hundred twenty-five million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 827677 1655354 2483031 3310708 4138385 4966062 6621416 7449093 8276770 9932124 12415155 14898186 16553540 19864248 20691925 22347279 24830310 29796372 33107080 37245465 41383850 44694558 49660620 59592744 62075775 67041837 74490930 82767700 89389116 99321240 111736395 124151550 134083674 148981860 165535400 178778232 186227325 201125511 223472790 248303100 268167348 297963720 335209185 372454650 402251022 446945580 496606200 536334696 558681975 670418370 744909300 804502044 893891160 1005627555 1117363950 1340836740 1489818600 1609004088 1676045925 2011255110 2234727900 2681673480 3352091850 4022510220 4469455800 5028137775 6704183700 8045020440 10056275550 13408367400 20112551100 40225102200