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3202014420 = 22325116724137
BaseRepresentation
bin1011111011011010…
…1101110011010100
322021011011012000200
42332312231303110
523024203430140
61245422140500
7142230450003
oct27666556324
98234135020
103202014420
1113a34a9910
12754421730
133c04c56b7
14225390c3a
1513b19a030
hexbedadcd4

3202014420 has 144 divisors (see below), whose sum is σ = 10754347968. Its totient is φ = 764628480.

The previous prime is 3202014359. The next prime is 3202014427. The reversal of 3202014420 is 244102023.

3202014420 is a `hidden beast` number, since 3 + 20 + 201 + 442 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3202014393 and 3202014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202014427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120592 + ... + 144728.

It is an arithmetic number, because the mean of its divisors is an integer number (74682972).

Almost surely, 23202014420 is an apocalyptic number.

3202014420 is a gapful number since it is divisible by the number (30) 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 3202014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377173984).

3202014420 is an abundant number, since it is smaller than the sum of its proper divisors (7552333548).

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

3202014420 is a wasteful number, since it uses less digits than its factorization.

3202014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24230 (or 24225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3202014420 is about 56586.3448192230. The cubic root of 3202014420 is about 1473.9217507082.

Adding to 3202014420 its reverse (244102023), we get a palindrome (3446116443).

The spelling of 3202014420 in words is "three billion, two hundred two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 24137 26532 33165 44220 48274 66330 72411 96548 120685 132660 144822 217233 241370 265507 289644 362055 434466 482740 531014 724110 796521 868932 1062028 1086165 1327535 1448220 1593042 1617179 2172330 2389563 2655070 3186084 3234358 3982605 4344660 4779126 4851537 5310140 6468716 7965210 8085895 9558252 9703074 11947815 14554611 15930420 16171790 17788969 19406148 23895630 24257685 29109222 32343580 35577938 47791260 48515370 53366907 58218444 71155876 72773055 88944845 97030740 106733814 145546110 160100721 177889690 213467628 266834535 291092220 320201442 355779380 533669070 640402884 800503605 1067338140 1601007210 3202014420