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2200133012 = 2271143271613
BaseRepresentation
bin1000001100100011…
…0101110110010100
312200022221100002212
42003020311312110
514001213224022
61002152252552
7105343551650
oct20310656624
95608840085
102200133012
11a29a10550
125149a1158
13290a7a06c
1416c2b3a60
15cd2463e2
hex83235d94

2200133012 has 96 divisors (see below), whose sum is σ = 4938092544. Its totient is φ = 832809600.

The previous prime is 2200133009. The next prime is 2200133017. The reversal of 2200133012 is 2103310022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200133017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3588818 + ... + 3589430.

It is an arithmetic number, because the mean of its divisors is an integer number (51438464).

Almost surely, 22200133012 is an apocalyptic number.

2200133012 is a gapful number since it is divisible by the number (22) 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 2200133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469046272).

2200133012 is an abundant number, since it is smaller than the sum of its proper divisors (2737959532).

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

2200133012 is a wasteful number, since it uses less digits than its factorization.

2200133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2200133012 is about 46905.5754894874. The cubic root of 2200133012 is about 1300.6176575761.

Adding to 2200133012 its reverse (2103310022), we get a palindrome (4303443034).

The spelling of 2200133012 in words is "two billion, two hundred million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 271 301 308 473 542 602 613 946 1084 1204 1226 1892 1897 2452 2981 3311 3794 4291 5962 6622 6743 7588 8582 11653 11924 13244 13486 17164 20867 23306 26359 26972 41734 46612 47201 52718 81571 83468 94402 105436 128183 163142 166123 184513 188804 256366 289949 326284 332246 369026 512732 579898 664492 738052 897281 1159796 1162861 1794562 1827353 2029643 2325722 3589124 3654706 4059286 4651444 7143289 7309412 8118572 12791471 14286578 25582942 28573156 50003023 51165884 78576179 100006046 157152358 200012092 314304716 550033253 1100066506 2200133012