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2056149900 = 2233527108791
BaseRepresentation
bin111101010001110…
…0101101110001100
312022022000020102000
41322203211232030
513202333244100
6540010232300
7101644662060
oct17243455614
95268006360
102056149900
11965708942
12494725690
13269ca6a5c
14157113aa0
15c07a4900
hex7a8e5b8c

2056149900 has 144 divisors (see below), whose sum is σ = 7554516480. Its totient is φ = 469972800.

The previous prime is 2056149859. The next prime is 2056149917. The reversal of 2056149900 is 99416502.

2056149900 is a `hidden beast` number, since 2 + 0 + 561 + 4 + 9 + 90 + 0 = 666.

It is a super-2 number, since 2×20561499002 = 8455504822540020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 35496 + ... + 73295.

It is an arithmetic number, because the mean of its divisors is an integer number (52461920).

Almost surely, 22056149900 is an apocalyptic number.

2056149900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056149900 is an abundant number, since it is smaller than the sum of its proper divisors (5498366580).

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

2056149900 is a wasteful number, since it uses less digits than its factorization.

2056149900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108821 (or 108808 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2056149900 is about 45344.7891162810. The cubic root of 2056149900 is about 1271.6031380295.

The spelling of 2056149900 in words is "two billion, fifty-six million, one hundred forty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 108791 217582 326373 435164 543955 652746 761537 979119 1087910 1305492 1523074 1631865 1958238 2175820 2284611 2719775 2937357 3046148 3263730 3807685 3916476 4569222 4895595 5439550 5874714 6527460 6853833 7615370 8159325 9138444 9791190 10879100 11423055 11749428 13707666 14686785 15230740 16318650 19038425 19582380 20561499 22846110 24477975 27415332 29373570 32637300 34269165 38076850 41122998 45692220 48955950 57115275 58747140 68538330 73433925 76153700 82245996 97911900 102807495 114230550 137076660 146867850 171345825 205614990 228461100 293735700 342691650 411229980 514037475 685383300 1028074950 2056149900