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2233315252 = 2271943233419
BaseRepresentation
bin1000010100011101…
…1010111110110100
312202122101011120201
42011013122332310
514033212042002
61005335410244
7106225603120
oct20507327664
95678334521
102233315252
11a46714893
12523b23984
132978c761c
14172870580
15d10ed087
hex851dafb4

2233315252 has 96 divisors (see below), whose sum is σ = 4843238400. Its totient is φ = 879766272.

The previous prime is 2233315241. The next prime is 2233315267. The reversal of 2233315252 is 2525133322.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2233315252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5329899 + ... + 5330317.

It is an arithmetic number, because the mean of its divisors is an integer number (50450400).

Almost surely, 22233315252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233315252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

2233315252 is an abundant number, since it is smaller than the sum of its proper divisors (2609923148).

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

2233315252 is a wasteful number, since it uses less digits than its factorization.

2233315252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its digits is 10800, while the sum is 28.

The square root of 2233315252 is about 47257.9649583009. The cubic root of 2233315252 is about 1307.1236644530.

Adding to 2233315252 its reverse (2525133322), we get a palindrome (4758448574).

The spelling of 2233315252 in words is "two billion, two hundred thirty-three million, three hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 233 266 301 419 466 532 602 817 838 932 1204 1631 1634 1676 2933 3262 3268 4427 5719 5866 6524 7961 8854 10019 11438 11732 15922 17708 18017 20038 22876 30989 31844 36034 40076 55727 61978 70133 72068 97627 111454 123956 126119 140266 190361 195254 222908 252238 280532 342323 380722 390508 504476 683389 684646 761444 1332527 1366778 1369292 1854913 2396261 2665054 2733556 3709826 4197961 4792522 5330108 7419652 8395922 9585044 12984391 16791844 25968782 29385727 51937564 58771454 79761259 117542908 159522518 319045036 558328813 1116657626 2233315252