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2248853152 = 257132333577
BaseRepresentation
bin1000011000001010…
…1100011010100000
312210201121120120111
42012002230122200
514101201300102
61011052421104
7106504636120
oct20602543240
95721546514
102248853152
11a54467727
12529177794
1329aba7a50
14174956c80
15d266bcd7
hex860ac6a0

2248853152 has 96 divisors (see below), whose sum is σ = 5686232832. Its totient is φ = 850950144.

The previous prime is 2248853149. The next prime is 2248853153. The reversal of 2248853152 is 2513588422.

It is not an unprimeable number, because it can be changed into a prime (2248853153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50188 + ... + 83764.

It is an arithmetic number, because the mean of its divisors is an integer number (59231592).

Almost surely, 22248853152 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 2248853152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843116416).

2248853152 is an abundant number, since it is smaller than the sum of its proper divisors (3437379680).

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

2248853152 is a wasteful number, since it uses less digits than its factorization.

2248853152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33630 (or 33622 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 2248853152 is about 47422.0745223150. The cubic root of 2248853152 is about 1310.1480228206.

The spelling of 2248853152 in words is "two billion, two hundred forty-eight million, eight hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 2093 2392 2576 2912 4186 4784 5152 8372 9568 16744 33488 33577 66976 67154 134308 235039 268616 436501 470078 537232 772271 873002 940156 1074464 1544542 1746004 1880312 3055507 3089084 3492008 3760624 5405897 6111014 6178168 6984016 7521248 10039523 10811794 12222028 12356336 13968032 20079046 21623588 24444056 24712672 40158092 43247176 48888112 70276661 80316184 86494352 97776224 140553322 160632368 172988704 281106644 321264736 562213288 1124426576 2248853152