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40233042200 = 23521319181017
BaseRepresentation
bin100101011110000100…
…111000000100011000
310211211220120022022002
4211132010320010120
51124344124322300
630252141420132
72623004134061
oct453604700430
9124756508262
1040233042200
111607655a0aa
127969b6a648
133a42438460
141d39511568
1510a71bb5d5
hex95e138118

40233042200 has 96 divisors (see below), whose sum is σ = 101266018560. Its totient is φ = 14777318400.

The previous prime is 40233042191. The next prime is 40233042247. The reversal of 40233042200 is 224033204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456092 + ... + 537108.

It is an arithmetic number, because the mean of its divisors is an integer number (1054854360).

Almost surely, 240233042200 is an apocalyptic number.

40233042200 is a gapful number since it is divisible by the number (40) 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 40233042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633009280).

40233042200 is an abundant number, since it is smaller than the sum of its proper divisors (61032976360).

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

40233042200 is a wasteful number, since it uses less digits than its factorization.

40233042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81237 (or 81228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40233042200 its reverse (224033204), we get a palindrome (40457075404).

The spelling of 40233042200 in words is "forty billion, two hundred thirty-three million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 191 200 260 325 382 520 650 764 955 1300 1528 1910 2483 2600 3820 4775 4966 7640 9550 9932 12415 19100 19864 24830 38200 49660 62075 81017 99320 124150 162034 248300 324068 405085 496600 648136 810170 1053221 1620340 2025425 2106442 3240680 4050850 4212884 5266105 8101700 8425768 10532210 15474247 16203400 21064420 26330525 30948494 42128840 52661050 61896988 77371235 105322100 123793976 154742470 201165211 210644200 309484940 386856175 402330422 618969880 773712350 804660844 1005826055 1547424700 1609321688 2011652110 3094849400 4023304220 5029130275 8046608440 10058260550 20116521100 40233042200