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2016137220 = 2235231638963
BaseRepresentation
bin111100000101011…
…1101000000000100
312012111201101022220
41320022331000010
513112112342340
6532020452340
7100650612036
oct17012750004
95174641286
102016137220
11945069809
1248324a0b0
13261907506
14151a99c56
15bbeeded0
hex782bd004

2016137220 has 96 divisors (see below), whose sum is σ = 5927427072. Its totient is φ = 511049088.

The previous prime is 2016137209. The next prime is 2016137231. The reversal of 2016137220 is 227316102.

It is an interprime number because it is at equal distance from previous prime (2016137209) and next prime (2016137231).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220459 + ... + 229421.

It is an arithmetic number, because the mean of its divisors is an integer number (61744032).

Almost surely, 22016137220 is an apocalyptic number.

2016137220 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 2016137220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963713536).

2016137220 is an abundant number, since it is smaller than the sum of its proper divisors (3911289852).

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

2016137220 is a wasteful number, since it uses less digits than its factorization.

2016137220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2016137220 is about 44901.4166814367. The cubic root of 2016137220 is about 1263.3005806159.

The spelling of 2016137220 in words is "two billion, sixteen million, one hundred thirty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 163 230 276 326 345 460 489 652 690 815 978 1380 1630 1956 2445 3260 3749 4890 7498 8963 9780 11247 14996 17926 18745 22494 26889 35852 37490 44815 44988 53778 56235 74980 89630 107556 112470 134445 179260 206149 224940 268890 412298 537780 618447 824596 1030745 1236894 1460969 2061490 2473788 2921938 3092235 4122980 4382907 5843876 6184470 7304845 8765814 12368940 14609690 17531628 21914535 29219380 33602287 43829070 67204574 87658140 100806861 134409148 168011435 201613722 336022870 403227444 504034305 672045740 1008068610 2016137220