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2232609225 = 3527112913331
BaseRepresentation
bin1000010100010010…
…1110100111001001
312202121001022002120
42011010232213021
514033021443400
61005312321453
7106216602540
oct20504564711
95677038076
102232609225
11a462823a0
12523843289
1329770b162
14172729157
15d100dca0
hex8512e9c9

2232609225 has 96 divisors (see below), whose sum is σ = 4761123840. Its totient is φ = 895776000.

The previous prime is 2232609209. The next prime is 2232609227. The reversal of 2232609225 is 5229062322.

It is not a de Polignac number, because 2232609225 - 24 = 2232609209 is a prime.

It is a super-3 number, since 3×22326092253 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2232609227) 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, 160810 + ... + 174140.

It is an arithmetic number, because the mean of its divisors is an integer number (49595040).

Almost surely, 22232609225 is an apocalyptic number.

2232609225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2232609225 is an abundant number, since it is smaller than the sum of its proper divisors (2528514615).

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

2232609225 is a wasteful number, since it uses less digits than its factorization.

2232609225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13391 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2232609225 is about 47250.4944418574. The cubic root of 2232609225 is about 1306.9859078353.

The spelling of 2232609225 in words is "two billion, two hundred thirty-two million, six hundred nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 29 33 35 55 75 77 87 105 145 165 175 203 231 275 319 385 435 525 609 725 825 957 1015 1155 1595 1925 2175 2233 3045 4785 5075 5775 6699 7975 11165 13331 15225 23925 33495 39993 55825 66655 93317 146641 167475 199965 279951 333275 386599 439923 466585 733205 999825 1026487 1159797 1399755 1932995 2199615 2332925 2706193 3079461 3666025 4252589 5132435 5798985 6998775 8118579 9664975 10998075 12757767 13530965 15397305 21262945 25662175 28994925 29768123 40592895 63788835 67654825 76986525 89304369 106314725 148840615 202964475 318944175 446521845 744203075 2232609225