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1229025540 = 22351710711261
BaseRepresentation
bin100100101000001…
…0111000100000100
310011122121222002110
41021100113010010
510004112304130
6321542141020
742312354561
oct11120270404
93148558073
101229025540
11580831096
122a3721770
13167817a62
14b9327868
1572d70ab0
hex49417104

1229025540 has 96 divisors (see below), whose sum is σ = 3678079104. Its totient is φ = 305551360.

The previous prime is 1229025529. The next prime is 1229025541. The reversal of 1229025540 is 455209221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1229025498 and 1229025507.

It is not an unprimeable number, because it can be changed into a prime (1229025541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103510 + ... + 114770.

It is an arithmetic number, because the mean of its divisors is an integer number (38313324).

Almost surely, 21229025540 is an apocalyptic number.

1229025540 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 1229025540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839039552).

1229025540 is an abundant number, since it is smaller than the sum of its proper divisors (2449053564).

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

1229025540 is a wasteful number, since it uses less digits than its factorization.

1229025540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11397 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1229025540 is about 35057.4605469364. The cubic root of 1229025540 is about 1071.1582473325.

The spelling of 1229025540 in words is "one billion, two hundred twenty-nine million, twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 170 204 214 255 321 340 428 510 535 642 1020 1070 1284 1605 1819 2140 3210 3638 5457 6420 7276 9095 10914 11261 18190 21828 22522 27285 33783 36380 45044 54570 56305 67566 109140 112610 135132 168915 191437 225220 337830 382874 574311 675660 765748 957185 1148622 1204927 1914370 2297244 2409854 2871555 3614781 3828740 4819708 5743110 6024635 7229562 11486220 12049270 14459124 18073905 20483759 24098540 36147810 40967518 61451277 72295620 81935036 102418795 122902554 204837590 245805108 307256385 409675180 614512770 1229025540