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2312000220 = 2235149258613
BaseRepresentation
bin1000100111001110…
…0101001011011100
312222010102210001210
42021303211023130
514213333001340
61021230104420
7111202451265
oct21163451334
95863383053
102312000220
11a87077a92
1254634b110
132aacb728a
1417d0b396c
15d7e92180
hex89ce52dc

2312000220 has 48 divisors (see below), whose sum is σ = 6517072800. Its totient is φ = 612393216.

The previous prime is 2312000203. The next prime is 2312000231. The reversal of 2312000220 is 220002132.

2312000220 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 junction number, because it is equal to n+sod(n) for n = 2312000196 and 2312000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120367 + ... + 138246.

It is an arithmetic number, because the mean of its divisors is an integer number (135772350).

Almost surely, 22312000220 is an apocalyptic number.

2312000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312000220 is an abundant number, since it is smaller than the sum of its proper divisors (4205072580).

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

2312000220 is a wasteful number, since it uses less digits than its factorization.

2312000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258774 (or 258772 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2312000220 is about 48083.2634083836. The cubic root of 2312000220 is about 1322.2978456330.

Adding to 2312000220 its reverse (220002132), we get a palindrome (2532002352).

The spelling of 2312000220 in words is "two billion, three hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 258613 517226 775839 1034452 1293065 1551678 2586130 3103356 3879195 5172260 7758390 15516780 38533337 77066674 115600011 154133348 192666685 231200022 385333370 462400044 578000055 770666740 1156000110 2312000220