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2230311000 = 233536011237
BaseRepresentation
bin1000010011101111…
…1101100001011000
312202102201112112010
42010323331201120
514031424423000
61005151145520
7106161221301
oct20473754130
95672645463
102230311000
11a44a52735
12522b152a0
132970b5068
141722cb7a8
15d0c07d50
hex84efd858

2230311000 has 128 divisors (see below), whose sum is σ = 6975783360. Its totient is φ = 593280000.

The previous prime is 2230310981. The next prime is 2230311023. The reversal of 2230311000 is 1130322.

It is a happy number.

2230311000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1802382 + ... + 1803618.

Almost surely, 22230311000 is an apocalyptic number.

2230311000 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 2230311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487891680).

2230311000 is an abundant number, since it is smaller than the sum of its proper divisors (4745472360).

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

2230311000 is a wasteful number, since it uses less digits than its factorization.

2230311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2230311000 is about 47226.1685932704. The cubic root of 2230311000 is about 1306.5372879097.

Adding to 2230311000 its reverse (1130322), we get a palindrome (2231441322).

The spelling of 2230311000 in words is "two billion, two hundred thirty million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 601 750 1000 1202 1237 1500 1803 2404 2474 3000 3005 3606 3711 4808 4948 6010 6185 7212 7422 9015 9896 12020 12370 14424 14844 15025 18030 18555 24040 24740 29688 30050 30925 36060 37110 45075 49480 60100 61850 72120 74220 75125 90150 92775 120200 123700 148440 150250 154625 180300 185550 225375 247400 300500 309250 360600 371100 450750 463875 601000 618500 742200 743437 901500 927750 1237000 1486874 1803000 1855500 2230311 2973748 3711000 3717185 4460622 5947496 7434370 8921244 11151555 14868740 17842488 18585925 22303110 29737480 37171850 44606220 55757775 74343700 89212440 92929625 111515550 148687400 185859250 223031100 278788875 371718500 446062200 557577750 743437000 1115155500 2230311000