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2020114624 = 26111729929
BaseRepresentation
bin111100001101000…
…1000000011000000
312012210012110022011
41320122020003000
513114122131444
6532242022304
7101026456003
oct17032100300
95183173264
102020114624
11947336020
12484647994
1326269a9c8
1415241353a
15bc537734
hex786880c0

2020114624 has 84 divisors (see below), whose sum is σ = 4645929240. Its totient is φ = 864133120.

The previous prime is 2020114559. The next prime is 2020114627. The reversal of 2020114624 is 4264110202.

It is a happy number.

It is a super-2 number, since 2×20201146242 = 8161726188197322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2020114595 and 2020114604.

It is not an unprimeable number, because it can be changed into a prime (2020114627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198492 + ... + 208420.

Almost surely, 22020114624 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 2020114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322964620).

2020114624 is an abundant number, since it is smaller than the sum of its proper divisors (2625814616).

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

2020114624 is a wasteful number, since it uses less digits than its factorization.

2020114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2020114624 is about 44945.6852656626. The cubic root of 2020114624 is about 1264.1307748046.

Adding to 2020114624 its reverse (4264110202), we get a palindrome (6284224826).

The spelling of 2020114624 in words is "two billion, twenty million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 289 352 374 544 578 704 748 1088 1156 1496 2312 2992 3179 4624 5984 6358 9248 9929 11968 12716 18496 19858 25432 39716 50864 79432 101728 109219 158864 168793 203456 218438 317728 337586 436876 635456 675172 873752 1350344 1747504 1856723 2700688 2869481 3495008 3713446 5401376 5738962 6990016 7426892 10802752 11477924 14853784 22955848 29707568 31564291 45911696 59415136 63128582 91823392 118830272 126257164 183646784 252514328 505028656 1010057312 2020114624