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2122310220 = 2235311141027
BaseRepresentation
bin111111001111111…
…1110001001001100
312110220111112022020
41332133332021030
513321302411340
6550332250140
7103410224232
oct17637761114
95426445266
102122310220
11999a97098
124b2910950
1327a8cc984
14161c16952
15c64c29d0
hex7e7fe24c

2122310220 has 48 divisors (see below), whose sum is σ = 6134166528. Its totient is φ = 547692480.

The previous prime is 2122310207. The next prime is 2122310221. The reversal of 2122310220 is 220132212.

It is a happy number.

It is a super-3 number, since 3×21223102203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122310220.

It is not an unprimeable number, because it can be changed into a prime (2122310221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568654 + ... + 572373.

It is an arithmetic number, because the mean of its divisors is an integer number (127795136).

Almost surely, 22122310220 is an apocalyptic number.

2122310220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122310220 is an abundant number, since it is smaller than the sum of its proper divisors (4011856308).

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

2122310220 is a wasteful number, since it uses less digits than its factorization.

2122310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141070 (or 1141068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2122310220 is about 46068.5382880768. The cubic root of 2122310220 is about 1285.0981206648.

Adding to 2122310220 its reverse (220132212), we get a palindrome (2342442432).

The spelling of 2122310220 in words is "two billion, one hundred twenty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1141027 2282054 3423081 4564108 5705135 6846162 11410270 13692324 17115405 22820540 34230810 35371837 68461620 70743674 106115511 141487348 176859185 212231022 353718370 424462044 530577555 707436740 1061155110 2122310220