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2229533152 = 257112339341
BaseRepresentation
bin1000010011100011…
…1111100111100000
312202101021000111221
42010320333213200
514031230030102
61005122344424
7106151501440
oct20470774740
95671230457
102229533152
11a44571290
125227bb114
13296ba1cb2
14172168120
15d0b02637
hex84e3f9e0

2229533152 has 96 divisors (see below), whose sum is σ = 5710569984. Its totient is φ = 830860800.

The previous prime is 2229533149. The next prime is 2229533167. The reversal of 2229533152 is 2513359222.

2229533152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37002 + ... + 76342.

It is an arithmetic number, because the mean of its divisors is an integer number (59485104).

Almost surely, 22229533152 is an apocalyptic number.

2229533152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229533152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855284992).

2229533152 is an abundant number, since it is smaller than the sum of its proper divisors (3481036832).

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

2229533152 is a wasteful number, since it uses less digits than its factorization.

2229533152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39392 (or 39384 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 2229533152 is about 47217.9325256835. The cubic root of 2229533152 is about 1306.3853800088.

The spelling of 2229533152 in words is "two billion, two hundred twenty-nine million, five hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 154 161 176 184 224 253 308 322 352 368 506 616 644 736 1012 1232 1288 1771 2024 2464 2576 3542 4048 5152 7084 8096 14168 28336 39341 56672 78682 157364 275387 314728 432751 550774 629456 865502 904843 1101548 1258912 1731004 1809686 2203096 3029257 3462008 3619372 4406192 6058514 6333901 6924016 7238744 8812384 9953273 12117028 12667802 13848032 14477488 19906546 24234056 25335604 28954976 39813092 48468112 50671208 69672911 79626184 96936224 101342416 139345822 159252368 202684832 278691644 318504736 557383288 1114766576 2229533152