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2020022352 = 2432431132887
BaseRepresentation
bin111100001100111…
…0001100001010000
312012210000202201200
41320121301201100
513114111203402
6532240031200
7101025622665
oct17031614120
95183022650
102020022352
11947282767
12484602500
132626679ca
141523cba6c
15bc51a21c
hex78671850

2020022352 has 120 divisors (see below), whose sum is σ = 5837941824. Its totient is φ = 651635712.

The previous prime is 2020022351. The next prime is 2020022387. The reversal of 2020022352 is 2532200202.

It is a super-2 number, since 2×20200223522 = 8160980605159223808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020022351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698253 + ... + 701139.

Almost surely, 22020022352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020022352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918970912).

2020022352 is an abundant number, since it is smaller than the sum of its proper divisors (3817919472).

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

2020022352 is a wasteful number, since it uses less digits than its factorization.

2020022352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2020022352 is about 44944.6587705369. The cubic root of 2020022352 is about 1264.1115274396. Note that the first 3 decimals are identical.

Adding to 2020022352 its reverse (2532200202), we get a palindrome (4552222554).

The spelling of 2020022352 in words is "two billion, twenty million, twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 113 129 144 172 226 258 339 344 387 452 516 678 688 774 904 1017 1032 1356 1548 1808 2034 2064 2712 2887 3096 4068 4859 5424 5774 6192 8136 8661 9718 11548 14577 16272 17322 19436 23096 25983 29154 34644 38872 43731 46192 51966 58308 69288 77744 87462 103932 116616 124141 138576 174924 207864 233232 248282 326231 349848 372423 415728 496564 652462 699696 744846 978693 993128 1117269 1304924 1489692 1957386 1986256 2234538 2609848 2936079 2979384 3914772 4469076 5219696 5872158 5958768 7829544 8938152 11744316 14027933 15659088 17876304 23488632 28055866 42083799 46977264 56111732 84167598 112223464 126251397 168335196 224446928 252502794 336670392 505005588 673340784 1010011176 2020022352