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2200412124 = 2232675991523
BaseRepresentation
bin1000001100100111…
…1001111111011100
312200100110111222100
42003021321333130
514001301141444
61002202245100
7105346123461
oct20311717734
95610414870
102200412124
11a2a091219
12514ab6790
13290b47111
1416c347668
15cd29de69
hex83279fdc

2200412124 has 72 divisors (see below), whose sum is σ = 5658307200. Its totient is φ = 720843552.

The previous prime is 2200412099. The next prime is 2200412129. The reversal of 2200412124 is 4212140022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200412097 and 2200412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200412129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1444027 + ... + 1445549.

It is an arithmetic number, because the mean of its divisors is an integer number (78587600).

Almost surely, 22200412124 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 2200412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829153600).

2200412124 is an abundant number, since it is smaller than the sum of its proper divisors (3457895076).

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

2200412124 is a wasteful number, since it uses less digits than its factorization.

2200412124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2200412124 is about 46908.5506491087. The cubic root of 2200412124 is about 1300.6726546519.

Adding to 2200412124 its reverse (4212140022), we get a palindrome (6412552146).

The spelling of 2200412124 in words is "two billion, two hundred million, four hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 599 603 804 1198 1206 1523 1797 2396 2412 3046 3594 4569 5391 6092 7188 9138 10782 13707 18276 21564 27414 40133 54828 80266 102041 120399 160532 204082 240798 306123 361197 408164 481596 612246 722394 912277 918369 1224492 1444788 1824554 1836738 2736831 3649108 3673476 5473662 8210493 10947324 16420986 32841972 61122559 122245118 183367677 244490236 366735354 550103031 733470708 1100206062 2200412124