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45230200 = 23521753251
BaseRepresentation
bin1010110010001…
…0100001111000
310011002221011121
42230202201320
543034331300
64253235024
71056310321
oct254424170
9104087147
1045230200
1123593134
1213192a74
1394a8342
146015448
153e8681a
hex2b22878

45230200 has 96 divisors (see below), whose sum is σ = 113898960. Its totient is φ = 16640000.

The previous prime is 45230191. The next prime is 45230261. The reversal of 45230200 is 203254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180075 + ... + 180325.

Almost surely, 245230200 is an apocalyptic number.

45230200 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 45230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56949480).

45230200 is an abundant number, since it is smaller than the sum of its proper divisors (68668760).

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

45230200 is a wasteful number, since it uses less digits than its factorization.

45230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45230200 is about 6725.3401400970. The cubic root of 45230200 is about 356.2948153327.

Adding to 45230200 its reverse (203254), we get a palindrome (45433454).

The spelling of 45230200 in words is "forty-five million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 251 265 340 424 425 502 530 680 850 901 1004 1060 1255 1325 1700 1802 2008 2120 2510 2650 3400 3604 4267 4505 5020 5300 6275 7208 8534 9010 10040 10600 12550 13303 17068 18020 21335 22525 25100 26606 34136 36040 42670 45050 50200 53212 66515 85340 90100 106424 106675 133030 170680 180200 213350 226151 266060 332575 426700 452302 532120 665150 853400 904604 1130755 1330300 1809208 2261510 2660600 4523020 5653775 9046040 11307550 22615100 45230200