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2241493152 = 253233727437
BaseRepresentation
bin1000010110011010…
…0111100010100000
312210012202122112220
42011212213202200
514042310240102
61010230551040
7106355243313
oct20546474240
95705678486
102241493152
11a5029aa88
12526808480
132994cba12
1417399c97a
15d1bb61bc
hex859a78a0

2241493152 has 96 divisors (see below), whose sum is σ = 6305910912. Its totient is φ = 695337984.

The previous prime is 2241493147. The next prime is 2241493157. The reversal of 2241493152 is 2513941422.

It is an interprime number because it is at equal distance from previous prime (2241493147) and next prime (2241493157).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2241493157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67978 + ... + 95414.

It is an arithmetic number, because the mean of its divisors is an integer number (65686572).

Almost surely, 22241493152 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 2241493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152955456).

2241493152 is an abundant number, since it is smaller than the sum of its proper divisors (4064417760).

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

2241493152 is a wasteful number, since it uses less digits than its factorization.

2241493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27510 (or 27502 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 2241493152 is about 47344.4099340144. The cubic root of 2241493152 is about 1308.7171856444.

The spelling of 2241493152 in words is "two billion, two hundred forty-one million, four hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 296 368 444 552 592 736 851 888 1104 1184 1702 1776 2208 2553 3404 3552 5106 6808 10212 13616 20424 27232 27437 40848 54874 81696 82311 109748 164622 219496 329244 438992 631051 658488 877984 1015169 1262102 1316976 1893153 2030338 2524204 2633952 3045507 3786306 4060676 5048408 6091014 7572612 8121352 10096816 12182028 15145224 16242704 20193632 23348887 24364056 30290448 32485408 46697774 48728112 60580896 70046661 93395548 97456224 140093322 186791096 280186644 373582192 560373288 747164384 1120746576 2241493152