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2200433340 = 2235713014027
BaseRepresentation
bin1000001100100111…
…1111001010111100
312200100111121002010
42003021333022330
514001302331330
61002202531220
7105346242360
oct20311771274
95610447063
102200433340
11a2a0a6156
12514b06b10
13290b53981
1416c3512a0
15cd2a53b0
hex8327f2bc

2200433340 has 96 divisors (see below), whose sum is σ = 7048548864. Its totient is φ = 502444800.

The previous prime is 2200433329. The next prime is 2200433423. The reversal of 2200433340 is 433340022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544407 + ... + 548433.

It is an arithmetic number, because the mean of its divisors is an integer number (73422384).

Almost surely, 22200433340 is an apocalyptic number.

2200433340 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 2200433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524274432).

2200433340 is an abundant number, since it is smaller than the sum of its proper divisors (4848115524).

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

2200433340 is a wasteful number, since it uses less digits than its factorization.

2200433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2200433340 is about 46908.7767907030. The cubic root of 2200433340 is about 1300.6768349267.

Adding to 2200433340 its reverse (433340022), we get a palindrome (2633773362).

The spelling of 2200433340 in words is "two billion, two hundred million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1301 2602 3903 4027 5204 6505 7806 8054 9107 12081 13010 15612 16108 18214 19515 20135 24162 26020 27321 28189 36428 39030 40270 45535 48324 54642 56378 60405 78060 80540 84567 91070 109284 112756 120810 136605 140945 169134 182140 241620 273210 281890 338268 422835 546420 563780 845670 1691340 5239127 10478254 15717381 20956508 26195635 31434762 36673889 52391270 62869524 73347778 78586905 104782540 110021667 146695556 157173810 183369445 220043334 314347620 366738890 440086668 550108335 733477780 1100216670 2200433340