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2272239516 = 2231741317857
BaseRepresentation
bin1000011101101111…
…1001111110011100
312212100121201122010
42013123321332130
514123143131031
61013245551220
7110210501001
oct20733717634
95770551563
102272239516
11a666901a8
12534b75510
132a29a5631
14177ac38a8
15d473b246
hex876f9f9c

2272239516 has 96 divisors (see below), whose sum is σ = 5775561792. Its totient is φ = 692469760.

The previous prime is 2272239451. The next prime is 2272239517. The reversal of 2272239516 is 6159322722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272239517) 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, 2650960 + ... + 2651816.

It is an arithmetic number, because the mean of its divisors is an integer number (60162102).

Almost surely, 22272239516 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 2272239516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887780896).

2272239516 is an abundant number, since it is smaller than the sum of its proper divisors (3503322276).

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

2272239516 is a wasteful number, since it uses less digits than its factorization.

2272239516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1237 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 2272239516 is about 47668.0135520665. The cubic root of 2272239516 is about 1314.6738850217.

The spelling of 2272239516 in words is "two billion, two hundred seventy-two million, two hundred thirty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 317 492 634 697 857 951 1268 1394 1714 1902 2091 2571 2788 3428 3804 4182 5142 5389 8364 10284 10778 12997 14569 16167 21556 25994 29138 32334 35137 38991 43707 51988 58276 64668 70274 77982 87414 105411 140548 155964 174828 210822 220949 271669 421644 441898 543338 597329 662847 815007 883796 1086676 1194658 1325694 1630014 1791987 2389316 2651388 3260028 3583974 4618373 7167948 9236746 11138429 13855119 18473492 22276858 27710238 33415287 44553716 55420476 66830574 133661148 189353293 378706586 568059879 757413172 1136119758 2272239516