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2232297468 = 223437186211
BaseRepresentation
bin1000010100001110…
…0010011111111100
312202120110110110000
42011003202133330
514032432004333
61005301514300
7106214133612
oct20503423774
95676413400
102232297468
11a4608a145
12523712990
1329762c29b
141726876b2
15d0e9b713
hex850e27fc

2232297468 has 60 divisors (see below), whose sum is σ = 5993419432. Its totient is φ = 723984480.

The previous prime is 2232297467. The next prime is 2232297469. The reversal of 2232297468 is 8647922322.

2232297468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2232297467) and next prime (2232297469).

It is a super-3 number, since 3×22322974683 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232297461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81118 + ... + 105093.

Almost surely, 22232297468 is an apocalyptic number.

It is an amenable number.

2232297468 is an abundant number, since it is smaller than the sum of its proper divisors (3761121964).

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

2232297468 is a wasteful number, since it uses less digits than its factorization.

2232297468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186264 (or 186253 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2232297468 is about 47247.1953453324. The cubic root of 2232297468 is about 1306.9250700544.

The spelling of 2232297468 in words is "two billion, two hundred thirty-two million, two hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 186211 372422 558633 744844 1117266 1675899 2234532 3351798 5027697 6703596 6889807 10055394 13779614 15083091 20110788 20669421 27559228 30166182 41338842 60332364 62008263 82677684 124016526 186024789 248033052 372049578 558074367 744099156 1116148734 2232297468