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202114020 = 2235171910429
BaseRepresentation
bin11000000110000…
…00001111100100
3112002022110022110
430003000033210
5403220122040
632020001020
75002640463
oct1403001744
9462273273
10202114020
11a40a7289
1257830170
1332b475c4
141cbb29da
1512b25980
hexc0c03e4

202114020 has 96 divisors (see below), whose sum is σ = 630806400. Its totient is φ = 48052224.

The previous prime is 202114019. The next prime is 202114049. The reversal of 202114020 is 20411202.

202114020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202113987 and 202114005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14166 + ... + 24594.

It is an arithmetic number, because the mean of its divisors is an integer number (6570900).

Almost surely, 2202114020 is an apocalyptic number.

202114020 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 202114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315403200).

202114020 is an abundant number, since it is smaller than the sum of its proper divisors (428692380).

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

202114020 is a wasteful number, since it uses less digits than its factorization.

202114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10477 (or 10475 counting only the distinct ones).

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

The square root of 202114020 is about 14216.6810472768. The cubic root of 202114020 is about 586.8568074853.

Adding to 202114020 its reverse (20411202), we get a palindrome (222525222).

The spelling of 202114020 in words is "two hundred two million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 9690 10429 19380 20858 31287 41716 52145 62574 104290 125148 156435 177293 198151 208580 312870 354586 396302 531879 594453 625740 709172 792604 886465 990755 1063758 1188906 1772930 1981510 2127516 2377812 2659395 2972265 3368567 3545860 3963020 5318790 5944530 6737134 10105701 10637580 11889060 13474268 16842835 20211402 33685670 40422804 50528505 67371340 101057010 202114020