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2066236700 = 22521119109907
BaseRepresentation
bin111101100101000…
…0100010100011100
312022222222200220012
41323022010110130
513212424033300
6541010342352
7102126502463
oct17312042434
95288880805
102066236700
11970378240
12497b8a9b8
1326c0c8c88
141585bb9da
15c15e8435
hex7b28451c

2066236700 has 144 divisors (see below), whose sum is σ = 5201750400. Its totient is φ = 704505600.

The previous prime is 2066236693. The next prime is 2066236703. The reversal of 2066236700 is 76326602.

2066236700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066236703) 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, 2277647 + ... + 2278553.

Almost surely, 22066236700 is an apocalyptic number.

2066236700 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 2066236700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600875200).

2066236700 is an abundant number, since it is smaller than the sum of its proper divisors (3135513700).

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

2066236700 is a wasteful number, since it uses less digits than its factorization.

2066236700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 2066236700 is about 45455.8764077869. The cubic root of 2066236700 is about 1273.6791036412.

The spelling of 2066236700 in words is "two billion, sixty-six million, two hundred thirty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 109 110 190 209 218 220 275 380 418 436 475 545 550 836 907 950 1045 1090 1100 1199 1814 1900 2071 2090 2180 2398 2725 3628 4142 4180 4535 4796 5225 5450 5995 8284 9070 9977 10355 10450 10900 11990 17233 18140 19954 20710 20900 22675 22781 23980 29975 34466 39908 41420 45350 45562 49885 51775 59950 68932 86165 90700 91124 98863 99770 103550 113905 119900 172330 189563 197726 199540 207100 227810 249425 344660 379126 395452 430825 455620 494315 498850 569525 758252 861650 947815 988630 997700 1087493 1139050 1723300 1878397 1895630 1977260 2174986 2278100 2471575 3756794 3791260 4349972 4739075 4943150 5437465 7513588 9391985 9478150 9886300 10874930 18783970 18956300 20662367 21749860 27187325 37567940 41324734 46959925 54374650 82649468 93919850 103311835 108749300 187839700 206623670 413247340 516559175 1033118350 2066236700