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202200343040 = 29592985021
BaseRepresentation
bin1011110001010000010…
…1000110001000000000
3201022220200121200201002
42330110011012020000
511303101241434130
6232520051031132
720415466362203
oct2742405061000
9638820550632
10202200343040
1178830905523
123323059b4a8
13160b51409c7
149b0240b93a
1553d670cb45
hex2f14146200

202200343040 has 80 divisors (see below), whose sum is σ = 485334483480. Its totient is φ = 80792125440.

The previous prime is 202200343021. The next prime is 202200343087. The reversal of 202200343040 is 40343002202.

It can be written as a sum of positive squares in 4 ways, for example, as 86850447616 + 115349895424 = 294704^2 + 339632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335730 + ... + 2420750.

Almost surely, 2202200343040 is an apocalyptic number.

202200343040 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 202200343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242667241740).

202200343040 is an abundant number, since it is smaller than the sum of its proper divisors (283134140440).

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

202200343040 is an frugal number, since it uses more digits than its factorization.

202200343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85973 (or 85957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 202200343040 its reverse (40343002202), we get a palindrome (242543345242).

The spelling of 202200343040 in words is "two hundred two billion, two hundred million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 929 1280 1858 2560 3716 4645 7432 9290 14864 18580 29728 37160 59456 74320 85021 118912 148640 170042 237824 297280 340084 425105 475648 594560 680168 850210 1189120 1360336 1700420 2378240 2720672 3400840 5441344 6801680 10882688 13603360 21765376 27206720 43530752 54413440 78984509 108826880 157969018 217653760 315938036 394922545 631876072 789845090 1263752144 1579690180 2527504288 3159380360 5055008576 6318760720 10110017152 12637521440 20220034304 25275042880 40440068608 50550085760 101100171520 202200343040