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2050774200 = 23355242197
BaseRepresentation
bin111101000111100…
…0101010010111000
312021220220010100000
41322033011102320
513144444233300
6535255113000
7101551202346
oct17217052270
95256803300
102050774200
11962677012
12492972760
13268b43c77
14156514996
15c0091c00
hex7a3c54b8

2050774200 has 144 divisors (see below), whose sum is σ = 7142433480. Its totient is φ = 546860160.

The previous prime is 2050774183. The next prime is 2050774207. The reversal of 2050774200 is 24770502.

2050774200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050774207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27502 + ... + 69698.

Almost surely, 22050774200 is an apocalyptic number.

2050774200 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 2050774200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571216740).

2050774200 is an abundant number, since it is smaller than the sum of its proper divisors (5091659280).

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

2050774200 is a wasteful number, since it uses less digits than its factorization.

2050774200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42228 (or 42207 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2050774200 is about 45285.4744923800. The cubic root of 2050774200 is about 1270.4939901501.

The spelling of 2050774200 in words is "two billion, fifty million, seven hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 42197 48600 84394 126591 168788 210985 253182 337576 379773 421970 506364 632955 759546 843940 1012728 1054925 1139319 1265910 1519092 1687880 1898865 2109850 2278638 2531820 3038184 3164775 3417957 3797730 4219700 4557276 5063640 5696595 6329550 6835914 7595460 8439400 9114552 9494325 10253871 11393190 12659100 13671828 15190920 17089785 18988650 20507742 22786380 25318200 27343656 28482975 34179570 37977300 41015484 45572760 51269355 56965950 68359140 75954600 82030968 85448925 102538710 113931900 136718280 170897850 205077420 227863800 256346775 341795700 410154840 512693550 683591400 1025387100 2050774200