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2214442530 = 2335233111503
BaseRepresentation
bin1000001111111101…
…1011011000100010
312201022212100002000
42003333123120202
514013344130110
61003423104430
7105606310446
oct20377333042
95638770060
102214442530
11a36aa44a3
12519742116
13293a1a331
1417015a826
15ce6211c0
hex83fdb622

2214442530 has 128 divisors (see below), whose sum is σ = 6361251840. Its totient is φ = 546575040.

The previous prime is 2214442469. The next prime is 2214442537. The reversal of 2214442530 is 352444122.

2214442530 is a `hidden beast` number, since 2 + 214 + 442 + 5 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2214442494 and 2214442503.

It is not an unprimeable number, because it can be changed into a prime (2214442537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186759 + ... + 198261.

It is an arithmetic number, because the mean of its divisors is an integer number (49697280).

Almost surely, 22214442530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214442530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180625920).

2214442530 is an abundant number, since it is smaller than the sum of its proper divisors (4146809310).

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

2214442530 is a wasteful number, since it uses less digits than its factorization.

2214442530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2214442530 is about 47057.8636361661. The cubic root of 2214442530 is about 1303.4312765939.

Adding to 2214442530 its reverse (352444122), we get a palindrome (2566886652).

The spelling of 2214442530 in words is "two billion, two hundred fourteen million, four hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 54 62 69 90 93 115 135 138 155 186 207 230 270 279 310 345 414 465 558 621 690 713 837 930 1035 1242 1395 1426 1674 2070 2139 2790 3105 3565 4185 4278 6210 6417 7130 8370 10695 11503 12834 19251 21390 23006 32085 34509 38502 57515 64170 69018 96255 103527 115030 172545 192510 207054 264569 310581 345090 356593 517635 529138 621162 713186 793707 1035270 1069779 1322845 1552905 1587414 1782965 2139558 2381121 2645690 3105810 3209337 3565930 3968535 4762242 5348895 6418674 7143363 7937070 8201639 9628011 10697790 11905605 14286726 16046685 16403278 19256022 23811210 24604917 32093370 35716815 41008195 48140055 49209834 71433630 73814751 82016390 96280110 123024585 147629502 221444253 246049170 369073755 442888506 738147510 1107221265 2214442530