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9228292096 = 212192792
BaseRepresentation
bin10001001100000110…
…01001000000000000
3212211010122210220011
420212003021000000
5122344420321341
64123414154304
7444454121452
oct104603110000
925733583804
109228292096
113a06148491
121956652994
13b40b6208a
146378802d2
15390273b81
hex2260c9000

9228292096 has 117 divisors (see below), whose sum is σ = 19726393491. Its totient is φ = 4315963392.

The previous prime is 9228292079. The next prime is 9228292103. The reversal of 9228292096 is 6902928229.

The square root of 9228292096 is 96064.

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

It is a super-2 number, since 2×92282920962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116813785 + ... + 116813863.

Almost surely, 29228292096 is an apocalyptic number.

9228292096 is the 96064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9228292096

9228292096 is an abundant number, since it is smaller than the sum of its proper divisors (10498101395).

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

9228292096 is an frugal number, since it uses more digits than its factorization.

9228292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The cubic root of 9228292096 is about 2097.5248310247.

Multiplying 9228292096 by its sum of digits (49), we get a square (452186312704 = 6724482).

The spelling of 9228292096 in words is "nine billion, two hundred twenty-eight million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 128 152 158 256 304 316 361 512 608 632 722 1024 1216 1264 1444 1501 2048 2432 2528 2888 3002 4096 4864 5056 5776 6004 6241 9728 10112 11552 12008 12482 19456 20224 23104 24016 24964 28519 38912 40448 46208 48032 49928 57038 77824 80896 92416 96064 99856 114076 118579 161792 184832 192128 199712 228152 237158 323584 369664 384256 399424 456304 474316 739328 768512 798848 912608 948632 1478656 1537024 1597696 1825216 1897264 2253001 3074048 3195392 3650432 3794528 4506002 6148096 6390784 7300864 7589056 9012004 12781568 14601728 15178112 18024008 25563136 29203456 30356224 36048016 58406912 60712448 72096032 116813824 121424896 144192064 242849792 288384128 485699584 576768256 1153536512 2307073024 4614146048 9228292096