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2156245300 = 22521131371709
BaseRepresentation
bin1000000010000101…
…1011000100110100
312120021100121111001
42000201123010310
513403444322200
6553543453044
7104301532306
oct20041330464
95507317431
102156245300
11a07165010
12502157184
13284951ac1
1416652b976
15c947776a
hex8085b134

2156245300 has 144 divisors (see below), whose sum is σ = 5414653440. Its totient is φ = 737856000.

The previous prime is 2156245279. The next prime is 2156245313. The reversal of 2156245300 is 35426512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1260846 + ... + 1262554.

It is an arithmetic number, because the mean of its divisors is an integer number (37601760).

Almost surely, 22156245300 is an apocalyptic number.

2156245300 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 2156245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707326720).

2156245300 is an abundant number, since it is smaller than the sum of its proper divisors (3258408140).

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

2156245300 is a wasteful number, since it uses less digits than its factorization.

2156245300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2156245300 is about 46435.3884445904. The cubic root of 2156245300 is about 1291.9113744254.

It can be divided in two parts, 2156 and 245300, that added together give a triangular number (247456 = T703).

The spelling of 2156245300 in words is "two billion, one hundred fifty-six million, two hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 37 44 50 55 62 74 100 110 124 148 155 185 220 275 310 341 370 407 550 620 682 740 775 814 925 1100 1147 1364 1550 1628 1705 1709 1850 2035 2294 3100 3410 3418 3700 4070 4588 5735 6820 6836 8140 8525 8545 10175 11470 12617 17050 17090 18799 20350 22940 25234 28675 34100 34180 37598 40700 42725 50468 52979 57350 63085 63233 75196 85450 93995 105958 114700 126170 126466 170900 187990 211916 252340 252932 264895 315425 316165 375980 469975 529790 582769 630850 632330 695563 939950 1059580 1165538 1261700 1264660 1324475 1391126 1580825 1879900 1960223 2331076 2648950 2782252 2913845 3161650 3477815 3920446 5297900 5827690 6323300 6955630 7840892 9801115 11655380 13911260 14569225 17389075 19602230 21562453 29138450 34778150 39204460 43124906 49005575 58276900 69556300 86249812 98011150 107812265 196022300 215624530 431249060 539061325 1078122650 2156245300