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2232145720 = 235777310313
BaseRepresentation
bin1000010100001011…
…1101011100111000
312202120011202021201
42011002331130320
514032412130340
61005254343544
7106212632320
oct20502753470
95676152251
102232145720
11a45a96132
1252365abb4
132975a81ac
14172648280
15d0e6b79a
hex850bd738

2232145720 has 64 divisors (see below), whose sum is σ = 5747785920. Its totient is φ = 764242944.

The previous prime is 2232145693. The next prime is 2232145723. The reversal of 2232145720 is 275412322.

It is a super-3 number, since 3×22321457203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232145723) 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, 211284 + ... + 221596.

It is an arithmetic number, because the mean of its divisors is an integer number (89809155).

Almost surely, 22232145720 is an apocalyptic number.

2232145720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232145720 is an abundant number, since it is smaller than the sum of its proper divisors (3515640200).

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

2232145720 is a wasteful number, since it uses less digits than its factorization.

2232145720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2232145720 is about 47245.5894237758. The cubic root of 2232145720 is about 1306.8954551602.

The spelling of 2232145720 in words is "two billion, two hundred thirty-two million, one hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 773 1546 3092 3865 5411 6184 7730 10313 10822 15460 20626 21644 27055 30920 41252 43288 51565 54110 72191 82504 103130 108220 144382 206260 216440 288764 360955 412520 577528 721910 1443820 2887640 7971949 15943898 31887796 39859745 55803643 63775592 79719490 111607286 159438980 223214572 279018215 318877960 446429144 558036430 1116072860 2232145720