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1122346816 = 26314791181
BaseRepresentation
bin100001011100101…
…1010011101000000
32220012220010101121
41002321122131000
54244310044231
6303211442024
736545535103
oct10271323500
92805803347
101122346816
11526598858
12273a56314
1314b6a6356
14a90b873a
15687ec311
hex42e5a740

1122346816 has 56 divisors (see below), whose sum is σ = 2305751040. Its totient is φ = 541478400.

The previous prime is 1122346811. The next prime is 1122346829. The reversal of 1122346816 is 6186432211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122346811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949746 + ... + 950926.

Almost surely, 21122346816 is an apocalyptic number.

1122346816 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 1122346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152875520).

1122346816 is an abundant number, since it is smaller than the sum of its proper divisors (1183404224).

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

1122346816 is a wasteful number, since it uses less digits than its factorization.

1122346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 1122346816 is about 33501.4449837615. Note that the first 3 decimals coincide. The cubic root of 1122346816 is about 1039.2236612544.

The spelling of 1122346816 in words is "one billion, one hundred twenty-two million, three hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 479 496 958 992 1181 1916 1984 2362 3832 4724 7664 9448 14849 15328 18896 29698 30656 36611 37792 59396 73222 75584 118792 146444 237584 292888 475168 565699 585776 950336 1131398 1171552 2262796 2343104 4525592 9051184 17536669 18102368 35073338 36204736 70146676 140293352 280586704 561173408 1122346816