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2830413150 = 23252311371481
BaseRepresentation
bin1010100010110100…
…1010110101011110
321022020220212220200
42220231022311132
521244041210100
61144505324330
7130066054245
oct25055126536
97266825820
102830413150
111222770324
1266ba966a6
133615182a6
141cbc9d95c
15118745e00
hexa8b4ad5e

2830413150 has 144 divisors (see below), whose sum is σ = 7912315008. Its totient is φ = 724608000.

The previous prime is 2830413139. The next prime is 2830413167. The reversal of 2830413150 is 513140382.

It is a happy number.

It is a super-2 number, since 2×28304131502 = 16022477199385845000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1910410 + ... + 1911890.

It is an arithmetic number, because the mean of its divisors is an integer number (54946632).

Almost surely, 22830413150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830413150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956157504).

2830413150 is an abundant number, since it is smaller than the sum of its proper divisors (5081901858).

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

2830413150 is a wasteful number, since it uses less digits than its factorization.

2830413150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2830413150 is about 53201.6273247351. The cubic root of 2830413150 is about 1414.5444891390.

The spelling of 2830413150 in words is "two billion, eight hundred thirty million, four hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 137 150 155 186 225 274 279 310 411 450 465 558 685 775 822 930 1233 1370 1395 1481 1550 2055 2325 2466 2790 2962 3425 4110 4247 4443 4650 6165 6850 6975 7405 8494 8886 10275 12330 12741 13329 13950 14810 20550 21235 22215 25482 26658 30825 37025 38223 42470 44430 45911 61650 63705 66645 74050 76446 91822 106175 111075 127410 133290 137733 191115 202897 212350 222150 229555 275466 318525 333225 382230 405794 413199 459110 608691 637050 666450 688665 826398 955575 1014485 1147775 1217382 1377330 1826073 1911150 2028970 2065995 2295550 3043455 3443325 3652146 4131990 5072425 6086910 6289807 6886650 9130365 10144850 10329975 12579614 15217275 18260730 18869421 20659950 30434550 31449035 37738842 45651825 56608263 62898070 91303650 94347105 113216526 157245175 188694210 283041315 314490350 471735525 566082630 943471050 1415206575 2830413150