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1225783296 = 2113273911
BaseRepresentation
bin100100100001111…
…1111100000000000
310011102112020120100
41021003333200000
510002300031141
6321344442400
742242662143
oct11103774000
93142466510
101225783296
11579a17151
122a2619400
13166c5107a
14b8b2205a
15729300b6
hex490ff800

1225783296 has 144 divisors (see below), whose sum is σ = 3592723680. Its totient is φ = 402554880.

The previous prime is 1225783261. The next prime is 1225783301. The reversal of 1225783296 is 6923875221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345081 + ... + 1345991.

It is an arithmetic number, because the mean of its divisors is an integer number (24949470).

Almost surely, 21225783296 is an apocalyptic number.

1225783296 is a gapful number since it is divisible by the number (16) 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 1225783296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796361840).

1225783296 is an abundant number, since it is smaller than the sum of its proper divisors (2366940384).

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

1225783296 is an equidigital number, since it uses as much as digits as its factorization.

1225783296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 989 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1225783296 is about 35011.1881546457. The cubic root of 1225783296 is about 1070.2154909975.

The spelling of 1225783296 in words is "one billion, two hundred twenty-five million, seven hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 911 1024 1152 1168 1314 1536 1752 1822 2048 2304 2336 2628 2733 3072 3504 3644 4608 4672 5256 5466 6144 7008 7288 8199 9216 9344 10512 10932 14016 14576 16398 18432 18688 21024 21864 28032 29152 32796 37376 42048 43728 56064 58304 65592 66503 74752 84096 87456 112128 116608 131184 133006 149504 168192 174912 199509 224256 233216 262368 266012 336384 349824 399018 448512 466432 524736 532024 598527 672768 699648 798036 932864 1049472 1064048 1197054 1345536 1399296 1596072 1865728 2098944 2128096 2394108 2798592 3192144 4197888 4256192 4788216 5597184 6384288 8395776 8512384 9576432 12768576 16791552 17024768 19152864 25537152 34049536 38305728 51074304 68099072 76611456 102148608 136198144 153222912 204297216 306445824 408594432 612891648 1225783296