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2232353130 = 2357171932911
BaseRepresentation
bin1000010100001111…
…0000000101101010
312202120120021210120
42011003300011222
514032440300010
61005303024110
7106214455110
oct20503600552
95676507716
102232353130
11a46117a47
1252373b036
1329764b717
1417269dab0
15d0eace70
hex850f016a

2232353130 has 128 divisors (see below), whose sum is σ = 6824632320. Its totient is φ = 454947840.

The previous prime is 2232353129. The next prime is 2232353131. The reversal of 2232353130 is 313532322.

It is an interprime number because it is at equal distance from previous prime (2232353129) and next prime (2232353131).

It is a super-4 number, since 4×22323531304 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2232353130.

It is not an unprimeable number, because it can be changed into a prime (2232353131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51375 + ... + 84285.

It is an arithmetic number, because the mean of its divisors is an integer number (53317440).

Almost surely, 22232353130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232353130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412316160).

2232353130 is an abundant number, since it is smaller than the sum of its proper divisors (4592279190).

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

2232353130 is a wasteful number, since it uses less digits than its factorization.

2232353130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32964.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2232353130 is about 47247.7843924982. The cubic root of 2232353130 is about 1306.9359326238.

Adding to 2232353130 its reverse (313532322), we get a palindrome (2545885452).

The spelling of 2232353130 in words is "two billion, two hundred thirty-two million, three hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 19 21 30 34 35 38 42 51 57 70 85 95 102 105 114 119 133 170 190 210 238 255 266 285 323 357 399 510 570 595 646 665 714 798 969 1190 1330 1615 1785 1938 1995 2261 3230 3570 3990 4522 4845 6783 9690 11305 13566 22610 32911 33915 65822 67830 98733 164555 197466 230377 329110 460754 493665 559487 625309 691131 987330 1118974 1151885 1250618 1382262 1678461 1875927 2303770 2797435 3126545 3356922 3455655 3751854 3916409 4377163 5594870 6253090 6911310 7832818 8392305 8754326 9379635 10630253 11749227 13131489 16784610 18759270 19582045 21260506 21885815 23498454 26262978 31890759 39164090 43771630 53151265 58746135 63781518 65657445 74411771 106302530 117492270 131314890 148823542 159453795 223235313 318907590 372058855 446470626 744117710 1116176565 2232353130