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2114350112 = 257172332383
BaseRepresentation
bin111111000000110…
…0110110000100000
312110100112010002102
41332001212300200
513312233200422
6545445505532
7103252452020
oct17601466040
95410463072
102114350112
1199554a596
124b01122a8
13279073754
14160b43a80
15c594e192
hex7e066c20

2114350112 has 96 divisors (see below), whose sum is σ = 5060869632. Its totient is φ = 848830464.

The previous prime is 2114350103. The next prime is 2114350201. The reversal of 2114350112 is 2110534112.

It is a super-2 number, since 2×21143501122 = 8940952792228825088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886073 + ... + 888455.

It is an arithmetic number, because the mean of its divisors is an integer number (52717392).

Almost surely, 22114350112 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 2114350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530434816).

2114350112 is an abundant number, since it is smaller than the sum of its proper divisors (2946519520).

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

2114350112 is a wasteful number, since it uses less digits than its factorization.

2114350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2114350112 is about 45982.0629376282. The cubic root of 2114350112 is about 1283.4894435306.

Adding to 2114350112 its reverse (2110534112), we get a palindrome (4224884224).

The spelling of 2114350112 in words is "two billion, one hundred fourteen million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 233 238 272 466 476 544 932 952 1631 1864 1904 2383 3262 3728 3808 3961 4766 6524 7456 7922 9532 13048 15844 16681 19064 26096 27727 31688 33362 38128 40511 52192 55454 63376 66724 76256 81022 110908 126752 133448 162044 221816 266896 283577 324088 443632 533792 555239 567154 648176 887264 1110478 1134308 1296352 2220956 2268616 3886673 4441912 4537232 7773346 8883824 9074464 9439063 15546692 17767648 18878126 31093384 37756252 62186768 66073441 75512504 124373536 132146882 151025008 264293764 302050016 528587528 1057175056 2114350112