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4200132204 = 2234971071249
BaseRepresentation
bin1111101001011000…
…1110111001101100
3101211201021211020000
43322112032321230
532100213212304
61532435224300
7206040351252
oct37226167154
911751254200
104200132204
111865957544
12992748090
1351c223c38
142bbb6c5d2
15198b08939
hexfa58ee6c

4200132204 has 120 divisors (see below), whose sum is σ = 11205810000. Its totient is φ = 1371561984.

The previous prime is 4200132203. The next prime is 4200132221. The reversal of 4200132204 is 4022310024.

It is a super-2 number, since 2×42001322042 = 35282221062155795232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4200132203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3362172 + ... + 3363420.

It is an arithmetic number, because the mean of its divisors is an integer number (93381750).

Almost surely, 24200132204 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 4200132204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602905000).

4200132204 is an abundant number, since it is smaller than the sum of its proper divisors (7005677796).

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

4200132204 is a wasteful number, since it uses less digits than its factorization.

4200132204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4200132204 is about 64808.4269520562. The cubic root of 4200132204 is about 1613.4455745549.

Adding to 4200132204 its reverse (4022310024), we get a palindrome (8222442228).

The spelling of 4200132204 in words is "four billion, two hundred million, one hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 107 108 162 194 214 291 321 324 388 428 582 642 873 963 1164 1249 1284 1746 1926 2498 2619 2889 3492 3747 3852 4996 5238 5778 7494 7857 8667 10379 10476 11241 11556 14988 15714 17334 20758 22482 31137 31428 33723 34668 41516 44964 62274 67446 93411 101169 121153 124548 133643 134892 186822 202338 242306 267286 280233 363459 373644 400929 404676 484612 534572 560466 726918 801858 840699 1090377 1120932 1202787 1453836 1603716 1681398 2180754 2405574 3271131 3362796 3608361 4361508 4811148 6542262 7216722 9813393 10825083 12963371 13084524 14433444 19626786 21650166 25926742 38890113 39253572 43300332 51853484 77780226 116670339 155560452 233340678 350011017 466681356 700022034 1050033051 1400044068 2100066102 4200132204