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2114240300 = 2252311096257
BaseRepresentation
bin111111000000100…
…1011111100101100
312110100022112110022
41332001023330230
513312221142200
6545443301312
7103251513614
oct17601137454
95410275408
102114240300
11995485037
124b007a838
13279035783
14160b15a44
15c592b885
hex7e04bf2c

2114240300 has 72 divisors (see below), whose sum is σ = 4780110720. Its totient is φ = 810777600.

The previous prime is 2114240299. The next prime is 2114240321. The reversal of 2114240300 is 30424112.

It is a super-2 number, since 2×21142403002 = 8940024092288180000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334772 + ... + 341028.

Almost surely, 22114240300 is an apocalyptic number.

2114240300 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 2114240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390055360).

2114240300 is an abundant number, since it is smaller than the sum of its proper divisors (2665870420).

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

2114240300 is a wasteful number, since it uses less digits than its factorization.

2114240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2114240300 is about 45980.8688478154. The cubic root of 2114240300 is about 1283.4672231516.

Adding to 2114240300 its reverse (30424112), we get a palindrome (2144664412).

The spelling of 2114240300 in words is "two billion, one hundred fourteen million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 109 124 155 218 310 436 545 620 775 1090 1550 2180 2725 3100 3379 5450 6257 6758 10900 12514 13516 16895 25028 31285 33790 62570 67580 84475 125140 156425 168950 193967 312850 337900 387934 625700 682013 775868 969835 1364026 1939670 2728052 3410065 3879340 4849175 6820130 9698350 13640260 17050325 19396700 21142403 34100650 42284806 68201300 84569612 105712015 211424030 422848060 528560075 1057120150 2114240300