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2014220352 = 26359269661
BaseRepresentation
bin111100000001110…
…1001000001000000
312012101002222212210
41320003221001000
513111120022402
6531511422120
7100625406354
oct17003510100
95171088783
102014220352
11943a7a621
12482684940
132613b5b81
1415171b464
15bbc7106c
hex780e9040

2014220352 has 112 divisors (see below), whose sum is σ = 5447995200. Its totient is φ = 656578560.

The previous prime is 2014220347. The next prime is 2014220357. The reversal of 2014220352 is 2530224102.

It is an interprime number because it is at equal distance from previous prime (2014220347) and next prime (2014220357).

It is a super-2 number, since 2×20142203522 = 8114167252822007808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2014220357) 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, 3046902 + ... + 3047562.

Almost surely, 22014220352 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 2014220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723997600).

2014220352 is an abundant number, since it is smaller than the sum of its proper divisors (3433774848).

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

2014220352 is a wasteful number, since it uses less digits than its factorization.

2014220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2014220352 is about 44880.0663101114. The cubic root of 2014220352 is about 1262.9000873214.

Adding to 2014220352 its reverse (2530224102), we get a palindrome (4544444454).

The spelling of 2014220352 in words is "two billion, fourteen million, two hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 269 354 472 538 661 708 807 944 1076 1322 1416 1614 1888 1983 2152 2644 2832 3228 3776 3966 4304 5288 5664 6456 7932 8608 10576 11328 12912 15864 15871 17216 21152 25824 31728 31742 38999 42304 47613 51648 63456 63484 77998 95226 116997 126912 126968 155996 177809 190452 233994 253936 311992 355618 380904 467988 507872 533427 623984 711236 761808 935976 1015744 1066854 1247968 1422472 1523616 1871952 2133708 2495936 2844944 3047232 3743904 4267416 5689888 7487808 8534832 10490731 11379776 17069664 20981462 31472193 34139328 41962924 62944386 83925848 125888772 167851696 251777544 335703392 503555088 671406784 1007110176 2014220352