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5002331220 = 22325296714303
BaseRepresentation
bin1001010100010100…
…11000010001010100
3110220121202202101200
410222022120101110
540221044044340
62144213152500
7234651054015
oct45212302124
913817682350
105002331220
11213775a537
12b7732b730
13619496a03
1435650b00c
151e4267330
hex12a298454

5002331220 has 144 divisors (see below), whose sum is σ = 15932367360. Its totient is φ = 1268644608.

The previous prime is 5002331183. The next prime is 5002331221. The reversal of 5002331220 is 221332005.

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 = 5002331193 and 5002331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002331221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342589 + ... + 356891.

It is an arithmetic number, because the mean of its divisors is an integer number (110641440).

Almost surely, 25002331220 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 5002331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966183680).

5002331220 is an abundant number, since it is smaller than the sum of its proper divisors (10930036140).

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

5002331220 is a wasteful number, since it uses less digits than its factorization.

5002331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14414 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5002331220 is about 70727.1604123904. The cubic root of 5002331220 is about 1710.2416607269.

Adding to 5002331220 its reverse (221332005), we get a palindrome (5223663225).

It can be divided in two parts, 500 and 2331220, that added together give a triangular number (2331720 = T2159).

The spelling of 5002331220 in words is "five billion, two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 67 87 90 116 134 145 174 180 201 261 268 290 335 348 402 435 522 580 603 670 804 870 1005 1044 1206 1305 1340 1740 1943 2010 2412 2610 3015 3886 4020 5220 5829 6030 7772 9715 11658 12060 14303 17487 19430 23316 28606 29145 34974 38860 42909 57212 58290 69948 71515 85818 87435 116580 128727 143030 171636 174870 214545 257454 286060 349740 414787 429090 514908 643635 829574 858180 958301 1244361 1287270 1659148 1916602 2073935 2488722 2574540 2874903 3733083 3833204 4147870 4791505 4977444 5749806 6221805 7466166 8295740 8624709 9583010 11499612 12443610 14374515 14932332 17249418 18665415 19166020 24887220 27790729 28749030 34498836 37330830 43123545 55581458 57498060 74661660 83372187 86247090 111162916 138953645 166744374 172494180 250116561 277907290 333488748 416860935 500233122 555814580 833721870 1000466244 1250582805 1667443740 2501165610 5002331220