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1122414420 = 2235731092351
BaseRepresentation
bin100001011100110…
…1010111101010100
32220020000120010110
41002321222331110
54244314230140
6303213123020
736546236151
oct10271527524
92806016113
101122414420
11526634626
12273a89470
1314b6cb05a
14a90d5228
1568812380
hex42e6af54

1122414420 has 96 divisors (see below), whose sum is σ = 3216407040. Its totient is φ = 292377600.

The previous prime is 1122414413. The next prime is 1122414431. The reversal of 1122414420 is 244142211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476245 + ... + 478595.

It is an arithmetic number, because the mean of its divisors is an integer number (33504240).

Almost surely, 21122414420 is an apocalyptic number.

1122414420 is a gapful number since it is divisible by the number (10) 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 1122414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608203520).

1122414420 is an abundant number, since it is smaller than the sum of its proper divisors (2093992620).

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

1122414420 is a wasteful number, since it uses less digits than its factorization.

1122414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1122414420 is about 33502.4539399728. The cubic root of 1122414420 is about 1039.2445265415.

Adding to 1122414420 its reverse (244142211), we get a palindrome (1366556631).

The spelling of 1122414420 in words is "one billion, one hundred twenty-two million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 109 146 218 219 292 327 365 436 438 545 654 730 876 1090 1095 1308 1460 1635 2180 2190 2351 3270 4380 4702 6540 7053 7957 9404 11755 14106 15914 23510 23871 28212 31828 35265 39785 47020 47742 70530 79570 95484 119355 141060 159140 171623 238710 256259 343246 477420 512518 514869 686492 768777 858115 1025036 1029738 1281295 1537554 1716230 2059476 2562590 2574345 3075108 3432460 3843885 5125180 5148690 7687770 10297380 15375540 18706907 37413814 56120721 74827628 93534535 112241442 187069070 224482884 280603605 374138140 561207210 1122414420