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2033422440 = 233577613181
BaseRepresentation
bin111100100110011…
…1001000001101000
312020201020120012020
41321030321001220
513131024004230
6533435144440
7101250543210
oct17114710150
95221216166
102033422440
119538a5415
12488ba5120
1326537a05a
141540b9240
15bd7b5810
hex79339068

2033422440 has 128 divisors (see below), whose sum is σ = 6983089920. Its totient is φ = 464025600.

The previous prime is 2033422409. The next prime is 2033422441. The reversal of 2033422440 is 442243302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2033422440.

It is not an unprimeable number, because it can be changed into a prime (2033422441) 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, 637650 + ... + 640830.

It is an arithmetic number, because the mean of its divisors is an integer number (54555390).

Almost surely, 22033422440 is an apocalyptic number.

2033422440 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 2033422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491544960).

2033422440 is an abundant number, since it is smaller than the sum of its proper divisors (4949667480).

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

2033422440 is a wasteful number, since it uses less digits than its factorization.

2033422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2033422440 is about 45093.4855605552. The cubic root of 2033422440 is about 1266.9005868384.

Adding to 2033422440 its reverse (442243302), we get a palindrome (2475665742).

The spelling of 2033422440 in words is "two billion, thirty-three million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 761 840 1522 2283 3044 3181 3805 4566 5327 6088 6362 7610 9132 9543 10654 11415 12724 15220 15905 15981 18264 19086 21308 22267 22830 25448 26635 30440 31810 31962 38172 42616 44534 45660 47715 53270 63620 63924 66801 76344 79905 89068 91320 95430 106540 111335 127240 127848 133602 159810 178136 190860 213080 222670 267204 319620 334005 381720 445340 534408 639240 668010 890680 1336020 2420741 2672040 4841482 7262223 9682964 12103705 14524446 16945187 19365928 24207410 29048892 33890374 36311115 48414820 50835561 58097784 67780748 72622230 84725935 96829640 101671122 135561496 145244460 169451870 203342244 254177805 290488920 338903740 406684488 508355610 677807480 1016711220 2033422440