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1122241024 = 2923157607
BaseRepresentation
bin100001011100100…
…0000101000000000
32220012200202021101
41002321000220000
54244243203044
6303205304144
736544614502
oct10271005000
92805622241
101122241024
11526526323
12273a05054
1314b66a158
14a908bd72
15687cacd4
hex42e40a00

1122241024 has 80 divisors (see below), whose sum is σ = 2358563328. Its totient is φ = 532426752.

The previous prime is 1122241007. The next prime is 1122241049. The reversal of 1122241024 is 4201422211.

It is a junction number, because it is equal to n+sod(n) for n = 1122240992 and 1122241010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1848529 + ... + 1849135.

Almost surely, 21122241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179281664).

1122241024 is an abundant number, since it is smaller than the sum of its proper divisors (1236322304).

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

1122241024 is an equidigital number, since it uses as much as digits as its factorization.

1122241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1122241024 is about 33499.8660295829. The cubic root of 1122241024 is about 1039.1910079478.

Adding to 1122241024 its reverse (4201422211), we get a palindrome (5323663235).

The spelling of 1122241024 in words is "one billion, one hundred twenty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 157 184 256 314 368 512 607 628 736 1214 1256 1472 2428 2512 2944 3611 4856 5024 5888 7222 9712 10048 11776 13961 14444 19424 20096 27922 28888 38848 40192 55844 57776 77696 80384 95299 111688 115552 155392 190598 223376 231104 310784 381196 446752 462208 762392 893504 924416 1524784 1787008 1848832 2191877 3049568 3574016 4383754 6099136 7148032 8767508 12198272 17535016 24396544 35070032 48793088 70140064 140280128 280560256 561120512 1122241024