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2214700728 = 233237156509
BaseRepresentation
bin1000010000000001…
…1010011010111000
312201100100110020220
42010000122122320
514013430410403
61003432420040
7105611434302
oct20400323270
95640313226
102214700728
11a37160489
12519847620
13293aaaa06
141701c6972
15ce672953
hex8401a6b8

2214700728 has 64 divisors (see below), whose sum is σ = 5858956800. Its totient is φ = 696178560.

The previous prime is 2214700699. The next prime is 2214700777. The reversal of 2214700728 is 8270074122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10938 + ... + 67446.

It is an arithmetic number, because the mean of its divisors is an integer number (91546200).

Almost surely, 22214700728 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 2214700728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929478400).

2214700728 is an abundant number, since it is smaller than the sum of its proper divisors (3644256072).

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

2214700728 is a wasteful number, since it uses less digits than its factorization.

2214700728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56612 (or 56608 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 2214700728 is about 47060.6069659115. The cubic root of 2214700728 is about 1303.4819334770.

The spelling of 2214700728 in words is "two billion, two hundred fourteen million, seven hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1633 1704 3266 4899 6532 9798 13064 19596 39192 56509 113018 169527 226036 339054 452072 678108 1299707 1356216 2599414 3899121 4012139 5198828 7798242 8024278 10397656 12036417 15596484 16048556 24072834 31192968 32097112 48145668 92279197 96291336 184558394 276837591 369116788 553675182 738233576 1107350364 2214700728