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1224435420 = 2233513213417
BaseRepresentation
bin100100011111011…
…0110011011011100
310011022222202122000
41020332312123130
510001423413140
6321255522300
742225346365
oct11076663334
93138882560
101224435420
115791864aa
122a2089390
1316689b700
14b8890b6c
1572765a30
hex48fb66dc

1224435420 has 144 divisors (see below), whose sum is σ = 4125229920. Its totient is φ = 301377024.

The previous prime is 1224435409. The next prime is 1224435451. The reversal of 1224435420 is 245344221.

1224435420 is a `hidden beast` number, since 1 + 224 + 435 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84552 + ... + 97968.

It is an arithmetic number, because the mean of its divisors is an integer number (28647430).

Almost surely, 21224435420 is an apocalyptic number.

1224435420 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 1224435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062614960).

1224435420 is an abundant number, since it is smaller than the sum of its proper divisors (2900794500).

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

1224435420 is a wasteful number, since it uses less digits than its factorization.

1224435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1224435420 is about 34991.9336419124. The cubic root of 1224435420 is about 1069.8230761132.

Adding to 1224435420 its reverse (245344221), we get a palindrome (1469779641).

The spelling of 1224435420 in words is "one billion, two hundred twenty-four million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 13417 15210 18252 22815 26834 30420 40251 45630 53668 67085 80502 91260 120753 134170 161004 174421 201255 241506 268340 348842 362259 402510 483012 523263 603765 697684 724518 805020 872105 1046526 1207530 1449036 1569789 1744210 1811295 2093052 2267473 2415060 2616315 3139578 3488420 3622590 4534946 4709367 5232630 6279156 6802419 7245180 7848945 9069892 9418734 10465260 11337365 13604838 15697890 18837468 20407257 22674730 23546835 27209676 31395780 34012095 40814514 45349460 47093670 61221771 68024190 81629028 94187340 102036285 122443542 136048380 204072570 244887084 306108855 408145140 612217710 1224435420