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202000080 = 24352929023
BaseRepresentation
bin11000000101001…
…00011011010000
3112002002200000110
430002210123100
5403203000310
632013321320
75001654342
oct1402443320
9462080013
10202000080
11a4029717
1257796240
1332b07799
141cb83292
1512b01d20
hexc0a46d0

202000080 has 80 divisors (see below), whose sum is σ = 647815680. Its totient is φ = 52007424.

The previous prime is 202000079. The next prime is 202000081. The reversal of 202000080 is 80000202.

It is an interprime number because it is at equal distance from previous prime (202000079) and next prime (202000081).

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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202000081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7552 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (8097696).

Almost surely, 2202000080 is an apocalyptic number.

202000080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000080 is an abundant number, since it is smaller than the sum of its proper divisors (445815600).

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

202000080 is a wasteful number, since it uses less digits than its factorization.

202000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29068 (or 29062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202000080 is about 14212.6732179418. The cubic root of 202000080 is about 586.7465083025.

Adding to 202000080 its reverse (80000202), we get a palindrome (282000282).

The spelling of 202000080 in words is "two hundred two million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 29023 58046 87069 116092 145115 174138 232184 290230 348276 435345 464368 580460 696552 841667 870690 1160920 1393104 1683334 1741380 2321840 2525001 3366668 3482760 4208335 5050002 6733336 6965520 8416670 10100004 12625005 13466672 16833340 20200008 25250010 33666680 40400016 50500020 67333360 101000040 202000080