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23233030040 = 2351185761613
BaseRepresentation
bin10101101000110010…
…111110011110011000
32012222011001012201002
4111220302332132120
5340040123430130
614401220244132
71451510332313
oct255062763630
965864035632
1023233030040
119942492380
124604840648
13226343c66c
1411a582b97a
1590e9e0b45
hex568cbe798

23233030040 has 64 divisors (see below), whose sum is σ = 57093996960. Its totient is φ = 8438379520.

The previous prime is 23233030033. The next prime is 23233030049. The reversal of 23233030040 is 4003033232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23233029994 and 23233030021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233030049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346274 + ... + 407886.

Almost surely, 223233030040 is an apocalyptic number.

23233030040 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 23233030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546998480).

23233030040 is an abundant number, since it is smaller than the sum of its proper divisors (33860966920).

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

23233030040 is a wasteful number, since it uses less digits than its factorization.

23233030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62492 (or 62488 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23233030040 its reverse (4003033232), we get a palindrome (27236063272).

The spelling of 23233030040 in words is "twenty-three billion, two hundred thirty-three million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 857 1714 3428 4285 6856 8570 9427 17140 18854 34280 37708 47135 61613 75416 94270 123226 188540 246452 308065 377080 492904 616130 677743 1232260 1355486 2464520 2710972 3388715 5421944 6777430 13554860 27109720 52802341 105604682 211209364 264011705 422418728 528023410 580825751 1056046820 1161651502 2112093640 2323303004 2904128755 4646606008 5808257510 11616515020 23233030040