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2231123940 = 223553159251
BaseRepresentation
bin1000010011111100…
…0011111111100100
312202111020211200000
42010333003333210
514032131431230
61005220421300
7106201145343
oct20477037744
95674224600
102231123940
11a45458491
12523247830
1329730b0a6
1417245db5a
15d0d18b60
hex84fc3fe4

2231123940 has 288 divisors, whose sum is σ = 7396945920. Its totient is φ = 563760000.

The previous prime is 2231123927. The next prime is 2231123941. The reversal of 2231123940 is 493211322.

It is a happy number.

It is a super-3 number, since 3×22311239403 (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 (27).

It is not an unprimeable number, because it can be changed into a prime (2231123941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8888815 + ... + 8889065.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 22231123940 is an apocalyptic number.

2231123940 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 2231123940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

2231123940 is an abundant number, since it is smaller than the sum of its proper divisors (5165821980).

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

2231123940 is a wasteful number, since it uses less digits than its factorization.

2231123940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2231123940 is about 47234.7746898405. The cubic root of 2231123940 is about 1306.6960112747.

The spelling of 2231123940 in words is "two billion, two hundred thirty-one million, one hundred twenty-three thousand, nine hundred forty".