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202256340 = 2235112132143
BaseRepresentation
bin11000000111000…
…10111111010100
3112002120200112120
430003202333110
5403234200330
632023015540
75004102426
oct1403427724
9462520476
10202256340
11a4194200
125789a5b0
1332b97310
141cc0c816
1512b52c10
hexc0e2fd4

202256340 has 144 divisors (see below), whose sum is σ = 670677504. Its totient is φ = 45239040.

The previous prime is 202256339. The next prime is 202256347. The reversal of 202256340 is 43652202.

202256340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202256340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202256347) 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, 93309 + ... + 95451.

Almost surely, 2202256340 is an apocalyptic number.

202256340 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 202256340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335338752).

202256340 is an abundant number, since it is smaller than the sum of its proper divisors (468421164).

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

202256340 is a wasteful number, since it uses less digits than its factorization.

202256340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 202256340 is about 14221.6855541107. The cubic root of 202256340 is about 586.9945216073.

It can be divided in two parts, 20225 and 6340, that added together give a triangular number (26565 = T230).

The spelling of 202256340 in words is "two hundred two million, two hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2143 2145 2420 2860 3146 3630 4286 4290 4719 6292 6429 7260 7865 8572 8580 9438 10715 12858 15730 18876 21430 23573 23595 25716 27859 31460 32145 42860 47146 47190 55718 64290 70719 83577 94292 94380 111436 117865 128580 139295 141438 167154 235730 259303 278590 282876 306449 334308 353595 417885 471460 518606 557180 612898 707190 777909 835770 919347 1037212 1225796 1296515 1414380 1532245 1555818 1671540 1838694 2593030 3064490 3111636 3370939 3677388 3889545 4596735 5186060 6128980 6741878 7779090 9193470 10112817 13483756 15558180 16854695 18386940 20225634 33709390 40451268 50564085 67418780 101128170 202256340