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1014422000 = 24534189139
BaseRepresentation
bin111100011101101…
…101100111110000
32121200210222101012
4330131231213300
54034143001000
6244354330052
734065305354
oct7435554760
92550728335
101014422000
11480684299
12243889928
13132219707
1498a23464
155e0ce735
hex3c76d9f0

1014422000 has 160 divisors (see below), whose sum is σ = 2559211200. Its totient is φ = 388608000.

The previous prime is 1014421999. The next prime is 1014422029. The reversal of 1014422000 is 2244101.

It is a congruent number.

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, 7297931 + ... + 7298069.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 21014422000 is an apocalyptic number.

1014422000 is a gapful number since it is divisible by the number (10) 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 1014422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

1014422000 is an abundant number, since it is smaller than the sum of its proper divisors (1544789200).

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

1014422000 is a wasteful number, since it uses less digits than its factorization.

1014422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1014422000 is about 31849.9921507055. The cubic root of 1014422000 is about 1004.7844062840.

Adding to 1014422000 its reverse (2244101), we get a palindrome (1016666101).

The spelling of 1014422000 in words is "one billion, fourteen million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 89 100 125 139 164 178 200 205 250 278 328 356 400 410 445 500 556 656 695 712 820 890 1000 1025 1112 1390 1424 1640 1780 2000 2050 2224 2225 2780 3280 3475 3560 3649 4100 4450 5125 5560 5699 6950 7120 7298 8200 8900 10250 11120 11125 11398 12371 13900 14596 16400 17375 17800 18245 20500 22250 22796 24742 27800 28495 29192 34750 35600 36490 41000 44500 45592 49484 55600 56990 58384 61855 69500 72980 82000 89000 91184 91225 98968 113980 123710 139000 142475 145960 178000 182450 197936 227960 247420 278000 284950 291920 309275 364900 455920 456125 494840 507211 569900 618550 712375 729800 912250 989680 1014422 1139800 1237100 1424750 1459600 1546375 1824500 2028844 2279600 2474200 2536055 2849500 3092750 3649000 4057688 4948400 5072110 5699000 6185500 7298000 8115376 10144220 11398000 12371000 12680275 20288440 24742000 25360550 40576880 50721100 63401375 101442200 126802750 202884400 253605500 507211000 1014422000