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1122034452 = 22371121011093
BaseRepresentation
bin100001011100000…
…1110001100010100
32220012022020220120
41002320032030110
54244220100302
6303201031540
736543064320
oct10270161424
92805266816
101122034452
115263a5100
122739255b0
1314b5c7116
14a9036980
15687899bc
hex42e0e314

1122034452 has 144 divisors (see below), whose sum is σ = 3324429696. Its totient is φ = 288288000.

The previous prime is 1122034451. The next prime is 1122034469. The reversal of 1122034452 is 2544302211.

It is a super-2 number, since 2×11220344522 = 2517922622949880608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122034451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026018 + ... + 1027110.

Almost surely, 21122034452 is an apocalyptic number.

1122034452 is a gapful number since it is divisible by the number (12) 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 1122034452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662214848).

1122034452 is an abundant number, since it is smaller than the sum of its proper divisors (2202395244).

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

1122034452 is a wasteful number, since it uses less digits than its factorization.

1122034452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1122034452 is about 33496.7827111799. The cubic root of 1122034452 is about 1039.1272424010.

Adding to 1122034452 its reverse (2544302211), we get a palindrome (3666336663).

The spelling of 1122034452 in words is "one billion, one hundred twenty-two million, thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 121 132 154 202 231 242 303 308 363 404 462 484 606 707 726 847 924 1093 1111 1212 1414 1452 1694 2121 2186 2222 2541 2828 3279 3333 3388 4242 4372 4444 5082 6558 6666 7651 7777 8484 10164 12023 12221 13116 13332 15302 15554 22953 23331 24046 24442 30604 31108 36069 36663 45906 46662 48092 48884 72138 73326 84161 85547 91812 93324 110393 132253 144276 146652 168322 171094 220786 252483 256641 264506 331179 336644 342188 396759 441572 504966 513282 529012 662358 772751 793518 925771 1009932 1026564 1214323 1324716 1545502 1587036 1851542 2318253 2428646 2777313 3091004 3642969 3703084 4636506 4857292 5554626 7285938 8500261 9273012 11109252 13357553 14571876 17000522 25500783 26715106 34001044 40072659 51001566 53430212 80145318 93502871 102003132 160290636 187005742 280508613 374011484 561017226 1122034452