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8229029796 = 223213211632
BaseRepresentation
bin1111010100111110…
…10000011110100100
3210020111101000201100
413222133100132210
5113323112423141
63440320400100
7410631412341
oct75237203644
923214330640
108229029796
113543088979
121717a76030
13a11b22900
14580c857c8
1533268b0b6
hex1ea7d07a4

8229029796 has 81 divisors (see below), whose sum is σ = 22543715649. Its totient is φ = 2529832032.

The previous prime is 8229029777. The next prime is 8229029797. The reversal of 8229029796 is 6979209228.

It is a happy number.

The square root of 8229029796 is 90714.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1217312100 + 7011717696 = 34890^2 + 83736^2 .

It is not an unprimeable number, because it can be changed into a prime (8229029797) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7075111 + ... + 7076273.

Almost surely, 28229029796 is an apocalyptic number.

8229029796 is the 90714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8229029796

8229029796 is an abundant number, since it is smaller than the sum of its proper divisors (14314685853).

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

8229029796 is a wasteful number, since it uses less digits than its factorization.

8229029796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The cubic root of 8229029796 is about 2018.9065248046.

The spelling of 8229029796 in words is "eight billion, two hundred twenty-nine million, twenty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1163 1521 2028 2326 3042 3489 4652 6084 6978 10467 13956 15119 20934 30238 41868 45357 60476 90714 136071 181428 196547 272142 393094 544284 589641 786188 1179282 1352569 1768923 2358564 2705138 3537846 4057707 5410276 7075692 8115414 12173121 16230828 17583397 24346242 35166794 48692484 52750191 70333588 105500382 158250573 211000764 228584161 316501146 457168322 633002292 685752483 914336644 1371504966 2057257449 2743009932 4114514898 8229029796