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2253155010 = 235176017351
BaseRepresentation
bin1000011001001100…
…0110101011000010
312211000201010121120
42012103012223002
514103301430020
61011324533110
7106556334021
oct20623065302
95730633546
102253155010
11a56935787
1252a6b1196
1329ba52b22
141753568b8
15d2c1b740
hex864c6ac2

2253155010 has 64 divisors (see below), whose sum is σ = 5735971584. Its totient is φ = 564480000.

The previous prime is 2253154931. The next prime is 2253155063. The reversal of 2253155010 is 105513522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302835 + ... + 310185.

It is an arithmetic number, because the mean of its divisors is an integer number (89624556).

Almost surely, 22253155010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253155010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867985792).

2253155010 is an abundant number, since it is smaller than the sum of its proper divisors (3482816574).

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

2253155010 is a wasteful number, since it uses less digits than its factorization.

2253155010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2253155010 is about 47467.4099777942. The cubic root of 2253155010 is about 1310.9828899607.

Adding to 2253155010 its reverse (105513522), we get a palindrome (2358668532).

The spelling of 2253155010 in words is "two billion, two hundred fifty-three million, one hundred fifty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 601 1202 1803 3005 3606 6010 7351 9015 10217 14702 18030 20434 22053 30651 36755 44106 51085 61302 73510 102170 110265 124967 153255 220530 249934 306510 374901 624835 749802 1249670 1874505 3749010 4417951 8835902 13253853 22089755 26507706 44179510 66269265 75105167 132538530 150210334 225315501 375525835 450631002 751051670 1126577505 2253155010