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2130226000 = 24537221737
BaseRepresentation
bin111111011111000…
…1010101101010000
312111110101200201021
41332332022231100
513330314213000
6551214045224
7103534423300
oct17676125520
95443350637
102130226000
119a3503361
124b54a9814
1327c441976
14162cb7600
15c703811a
hex7ef8ab50

2130226000 has 120 divisors (see below), whose sum is σ = 5992123176. Its totient is φ = 730329600.

The previous prime is 2130225961. The next prime is 2130226057. The reversal of 2130226000 is 6220312.

It can be written as a sum of positive squares in 4 ways, for example, as 463627024 + 1666598976 = 21532^2 + 40824^2 .

It is a super-2 number, since 2×21302260002 = 9075725622152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87132 + ... + 108868.

Almost surely, 22130226000 is an apocalyptic number.

2130226000 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 2130226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996061588).

2130226000 is an abundant number, since it is smaller than the sum of its proper divisors (3861897176).

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

2130226000 is a wasteful number, since it uses less digits than its factorization.

2130226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21774 (or 21751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2130226000 is about 46154.3714072676. The cubic root of 2130226000 is about 1286.6938554872.

Adding to 2130226000 its reverse (6220312), we get a palindrome (2136446312).

The spelling of 2130226000 in words is "two billion, one hundred thirty million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 21737 24500 43474 49000 86948 98000 108685 152159 173896 217370 304318 347792 434740 543425 608636 760795 869480 1065113 1086850 1217272 1521590 1738960 2130226 2173700 2434544 2717125 3043180 3803975 4260452 4347400 5325565 5434250 6086360 7607950 8520904 8694800 10651130 10868500 12172720 15215900 17041808 19019875 21302260 21737000 26627825 30431800 38039750 42604520 43474000 53255650 60863600 76079500 85209040 106511300 133139125 152159000 213022600 266278250 304318000 426045200 532556500 1065113000 2130226000