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23255032440 = 23356122913873
BaseRepresentation
bin10101101010000110…
…111010001001111000
32020000200110001022210
4111222012322021320
5340111242014230
614403324015120
71452165341253
oct255206721170
966020401283
1023255032440
119953950082
1246100914a0
132267b74333
1411a871809a
159118d9eb0
hex56a1ba278

23255032440 has 128 divisors (see below), whose sum is σ = 71223566400. Its totient is φ = 6072606720.

The previous prime is 23255032429. The next prime is 23255032453. The reversal of 23255032440 is 4423055232.

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 = 23255032398 and 23255032407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1669344 + ... + 1683216.

Almost surely, 223255032440 is an apocalyptic number.

23255032440 is a gapful number since it is divisible by the number (20) 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 23255032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35611783200).

23255032440 is an abundant number, since it is smaller than the sum of its proper divisors (47968533960).

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

23255032440 is a wasteful number, since it uses less digits than its factorization.

23255032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 23255032440 its reverse (4423055232), we get a palindrome (27678087672).

The spelling of 23255032440 in words is "twenty-three billion, two hundred fifty-five million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 229 244 305 366 458 488 610 687 732 915 916 1145 1220 1374 1464 1830 1832 2290 2440 2748 3435 3660 4580 5496 6870 7320 9160 13740 13873 13969 27480 27746 27938 41619 41907 55492 55876 69365 69845 83238 83814 110984 111752 138730 139690 166476 167628 208095 209535 277460 279380 332952 335256 416190 419070 554920 558760 832380 838140 846253 1664760 1676280 1692506 2538759 3176917 3385012 4231265 5077518 6353834 6770024 8462530 9530751 10155036 12693795 12707668 15884585 16925060 19061502 20310072 25387590 25415336 31769170 33850120 38123004 47653755 50775180 63538340 76246008 95307510 101550360 127076680 190615020 193791937 381230040 387583874 581375811 775167748 968959685 1162751622 1550335496 1937919370 2325503244 2906879055 3875838740 4651006488 5813758110 7751677480 11627516220 23255032440