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2054220500 = 225317383631
BaseRepresentation
bin111101001110000…
…1110101011010100
312022011101012202202
41322130032223110
513201340024000
6535501024032
7101622405023
oct17234165324
95264335682
102054220500
119646102a2
12493b55018
1326977c7b7
14156b708ba
15c0522dd5
hex7a70ead4

2054220500 has 96 divisors (see below), whose sum is σ = 4770275328. Its totient is φ = 770112000.

The previous prime is 2054220479. The next prime is 2054220521. The reversal of 2054220500 is 50224502.

It is an interprime number because it is at equal distance from previous prime (2054220479) and next prime (2054220521).

It is a super-3 number, since 3×20542205003 (a number of 29 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3255185 + ... + 3255815.

It is an arithmetic number, because the mean of its divisors is an integer number (49690368).

Almost surely, 22054220500 is an apocalyptic number.

2054220500 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 2054220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385137664).

2054220500 is an abundant number, since it is smaller than the sum of its proper divisors (2716054828).

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

2054220500 is a wasteful number, since it uses less digits than its factorization.

2054220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2054220500 is about 45323.5093522115. The cubic root of 2054220500 is about 1271.2052748692.

The spelling of 2054220500 in words is "two billion, fifty-four million, two hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 383 425 500 631 766 850 1262 1532 1700 1915 2125 2524 3155 3830 4250 6310 6511 7660 8500 9575 10727 12620 13022 15775 19150 21454 26044 31550 32555 38300 42908 47875 53635 63100 65110 78875 95750 107270 130220 157750 162775 191500 214540 241673 268175 315500 325550 483346 536350 651100 813875 966692 1072700 1208365 1340875 1627750 2416730 2681750 3255500 4108441 4833460 5363500 6041825 8216882 12083650 16433764 20542205 24167300 30209125 41084410 60418250 82168820 102711025 120836500 205422050 410844100 513555125 1027110250 2054220500