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2231121120 = 25354648169
BaseRepresentation
bin1000010011111100…
…0011010011100000
312202111020200210120
42010333003103200
514032131333440
61005220400240
7106201134204
oct20477032340
95674220716
102231121120
11a45456358
12523246080
13297309a17
1417245cb04
15d0d17dd0
hex84fc34e0

2231121120 has 48 divisors (see below), whose sum is σ = 7028033040. Its totient is φ = 594965504.

The previous prime is 2231121107. The next prime is 2231121121. The reversal of 2231121120 is 211211322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22311211203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2231121120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2323605 + ... + 2324564.

It is an arithmetic number, because the mean of its divisors is an integer number (146417355).

Almost surely, 22231121120 is an apocalyptic number.

2231121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231121120 is an abundant number, since it is smaller than the sum of its proper divisors (4796911920).

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

2231121120 is a wasteful number, since it uses less digits than its factorization.

2231121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648187 (or 4648179 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2231121120 is about 47234.7448389424. The cubic root of 2231121120 is about 1306.6954607473.

Adding to 2231121120 its reverse (211211322), we get a palindrome (2442332442).

The spelling of 2231121120 in words is "two billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4648169 9296338 13944507 18592676 23240845 27889014 37185352 46481690 55778028 69722535 74370704 92963380 111556056 139445070 148741408 185926760 223112112 278890140 371853520 446224224 557780280 743707040 1115560560 2231121120