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3322225152 = 2933298287
BaseRepresentation
bin1100011000000101…
…0010001000000000
322120112100112011000
43012001102020000
523300442201102
61305354452000
7145220306421
oct30601221000
98515315130
103322225152
111455344a24
12788734000
1340c3944cc
14237323648
151469e301c
hexc6052200

3322225152 has 160 divisors (see below), whose sum is σ = 10174348800. Its totient is φ = 1069092864.

The previous prime is 3322225103. The next prime is 3322225171. The reversal of 3322225152 is 2515222233.

It is a super-2 number, since 2×33222251522 = 22074359921162846208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 396753 + ... + 405039.

It is an arithmetic number, because the mean of its divisors is an integer number (63589680).

Almost surely, 23322225152 is an apocalyptic number.

3322225152 is a gapful number since it is divisible by the number (32) 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 3322225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087174400).

3322225152 is an abundant number, since it is smaller than the sum of its proper divisors (6852123648).

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

3322225152 is an equidigital number, since it uses as much as digits as its factorization.

3322225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8321 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 3322225152 is about 57638.7469676432. The cubic root of 3322225152 is about 1492.1403936535.

Adding to 3322225152 its reverse (2515222233), we get a palindrome (5837447385).

The spelling of 3322225152 in words is "three billion, three hundred twenty-two million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8287 8352 11136 12528 13824 14848 16574 16704 22272 24861 25056 33148 33408 44544 49722 50112 66296 66816 74583 99444 100224 132592 133632 149166 198888 200448 223749 240323 265184 298332 397776 400896 447498 480646 530368 596664 720969 795552 894996 961292 1060736 1193328 1441938 1591104 1789992 1922584 2121472 2162907 2386656 2883876 3182208 3579984 3845168 4242944 4325814 4773312 5767752 6364416 6488721 7159968 7690336 8651628 9546624 11535504 12728832 12977442 14319936 15380672 17303256 19093248 23071008 25954884 28639872 30761344 34606512 38186496 46142016 51909768 57279744 61522688 69213024 92284032 103819536 114559488 123045376 138426048 184568064 207639072 276852096 369136128 415278144 553704192 830556288 1107408384 1661112576 3322225152