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2172338880 = 263517133109
BaseRepresentation
bin1000000101111011…
…0100001011000000
312121101122020201120
42001132310023000
513422104321010
6555320432240
7104555401335
oct20136641300
95541566646
102172338880
11a15257398
12507618680
1328809812a
1416871a98c
15caaa5e70
hex817b42c0

2172338880 has 112 divisors (see below), whose sum is σ = 7302947040. Its totient is φ = 545210368.

The previous prime is 2172338879. The next prime is 2172338881. The reversal of 2172338880 is 888332712.

It is an interprime number because it is at equal distance from previous prime (2172338879) and next prime (2172338881).

It is not an unprimeable number, because it can be changed into a prime (2172338881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50235 + ... + 82874.

Almost surely, 22172338880 is an apocalyptic number.

2172338880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2172338880 is an abundant number, since it is smaller than the sum of its proper divisors (5130608160).

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

2172338880 is a wasteful number, since it uses less digits than its factorization.

2172338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133146 (or 133136 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2172338880 is about 46608.3563323145. The cubic root of 2172338880 is about 1295.1175596282.

The spelling of 2172338880 in words is "two billion, one hundred seventy-two million, three hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 133109 266218 399327 532436 665545 798654 1064872 1331090 1597308 1996635 2129744 2262853 2662180 3194616 3993270 4259488 4525706 5324360 6389232 6788559 7986540 8518976 9051412 10648720 11314265 12778464 13577118 15973080 18102824 21297440 22628530 25556928 27154236 31946160 33942795 36205648 42594880 45257060 54308472 63892320 67885590 72411296 90514120 108616944 127784640 135771180 144822592 181028240 217233888 271542360 362056480 434467776 543084720 724112960 1086169440 2172338880