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2232614640 = 243561152501
BaseRepresentation
bin1000010100010010…
…1111111011110000
312202121001120112010
42011010233323300
514033022132030
61005312402520
7106216624404
oct20504577360
95677046463
102232614640
11a46286473
12523846440
13297710769
1417272b104
15d10106b0
hex8512fef0

2232614640 has 80 divisors (see below), whose sum is σ = 7034612256. Its totient is φ = 585600000.

The previous prime is 2232614617. The next prime is 2232614707. The reversal of 2232614640 is 464162322.

2232614640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22326146403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2232614598 and 2232614607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61611 + ... + 90890.

Almost surely, 22232614640 is an apocalyptic number.

2232614640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232614640 is an abundant number, since it is smaller than the sum of its proper divisors (4801997616).

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

2232614640 is a wasteful number, since it uses less digits than its factorization.

2232614640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152578 (or 152572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2232614640 is about 47250.5517428104. The cubic root of 2232614640 is about 1306.9869644948.

Adding to 2232614640 its reverse (464162322), we get a palindrome (2696776962).

The spelling of 2232614640 in words is "two billion, two hundred thirty-two million, six hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 152501 305002 457503 610004 762505 915006 1220008 1525010 1830012 2287515 2440016 3050020 3660024 4575030 6100040 7320048 9150060 9302561 12200080 18300120 18605122 27907683 36600240 37210244 46512805 55815366 74420488 93025610 111630732 139538415 148840976 186051220 223261464 279076830 372102440 446522928 558153660 744204880 1116307320 2232614640