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2530224180 = 22325116719073
BaseRepresentation
bin1001011011010000…
…0010100000110100
320112100001201001200
42112310002200310
520140214133210
61055023252500
7116462356611
oct22664024064
96470051050
102530224180
111089277970
125a744a130
13314282493
141a007b508
15ec1eb0c0
hex96d02834

2530224180 has 144 divisors (see below), whose sum is σ = 8498153664. Its totient is φ = 604200960.

The previous prime is 2530224131. The next prime is 2530224211. The reversal of 2530224180 is 814220352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123124 + ... + 142196.

It is an arithmetic number, because the mean of its divisors is an integer number (59014956).

Almost surely, 22530224180 is an apocalyptic number.

2530224180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530224180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249076832).

2530224180 is an abundant number, since it is smaller than the sum of its proper divisors (5967929484).

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

2530224180 is a wasteful number, since it uses less digits than its factorization.

2530224180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19166 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2530224180 is about 50301.3337795331. Note that the first 3 decimals coincide. The cubic root of 2530224180 is about 1362.6563171662.

The spelling of 2530224180 in words is "two billion, five hundred thirty million, two hundred twenty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 19073 22110 26532 33165 38146 44220 57219 66330 76292 95365 114438 132660 171657 190730 209803 228876 286095 343314 381460 419606 572190 629409 686628 839212 858285 1049015 1144380 1258818 1277891 1716570 1888227 2098030 2517636 2555782 3147045 3433140 3776454 3833673 4196060 5111564 6294090 6389455 7552908 7667346 9441135 11501019 12588180 12778910 14056801 15334692 18882270 19168365 23002038 25557820 28113602 37764540 38336730 42170403 46004076 56227204 57505095 70284005 76673460 84340806 115010190 126511209 140568010 168681612 210852015 230020380 253022418 281136020 421704030 506044836 632556045 843408060 1265112090 2530224180