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2200412034 = 2331714916087
BaseRepresentation
bin1000001100100111…
…1001111110000010
312200100110111212000
42003021321332002
514001301141114
61002202244430
7105346123302
oct20311717602
95610414760
102200412034
11a2a091147
12514ab6716
13290b47072
1416c347602
15cd29de09
hex83279f82

2200412034 has 64 divisors (see below), whose sum is σ = 5212512000. Its totient is φ = 685649664.

The previous prime is 2200412009. The next prime is 2200412099. The reversal of 2200412034 is 4302140022.

2200412034 is a `hidden beast` number, since 220 + 0 + 412 + 0 + 34 = 666.

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 = 2200411998 and 2200412016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128739 + ... + 144825.

It is an arithmetic number, because the mean of its divisors is an integer number (81445500).

Almost surely, 22200412034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200412034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606256000).

2200412034 is an abundant number, since it is smaller than the sum of its proper divisors (3012099966).

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

2200412034 is a wasteful number, since it uses less digits than its factorization.

2200412034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 16258 counting only the distinct ones).

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

The square root of 2200412034 is about 46908.5496897954. The cubic root of 2200412034 is about 1300.6726369187.

Adding to 2200412034 its reverse (4302140022), we get a palindrome (6502552056).

The spelling of 2200412034 in words is "two billion, two hundred million, four hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 149 153 298 306 447 459 894 918 1341 2533 2682 4023 5066 7599 8046 15198 16087 22797 32174 45594 48261 68391 96522 136782 144783 273479 289566 434349 546958 820437 868698 1640874 2396963 2461311 4793926 4922622 7190889 7383933 14381778 14767866 21572667 40748371 43145334 64718001 81496742 122245113 129436002 244490226 366735339 733470678 1100206017 2200412034