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2154430020 = 2235731074597
BaseRepresentation
bin1000000001101001…
…1111111001000100
312120010221101101110
42000122133321010
513403013230040
6553440525020
7104250232041
oct20032377104
95503841343
102154430020
11a06135186
12501620770
13284467782
141661b81c8
15c9219980
hex8069fe44

2154430020 has 96 divisors (see below), whose sum is σ = 6173532288. Its totient is φ = 561226752.

The previous prime is 2154430001. The next prime is 2154430049. The reversal of 2154430020 is 200344512.

It is a super-2 number, since 2×21544300202 = 9283137422154400800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466362 + ... + 470958.

It is an arithmetic number, because the mean of its divisors is an integer number (64307628).

Almost surely, 22154430020 is an apocalyptic number.

2154430020 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 2154430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086766144).

2154430020 is an abundant number, since it is smaller than the sum of its proper divisors (4019102268).

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

2154430020 is a wasteful number, since it uses less digits than its factorization.

2154430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2154430020 is about 46415.8380297071. The cubic root of 2154430020 is about 1291.5487318107.

Adding to 2154430020 its reverse (200344512), we get a palindrome (2354774532).

The spelling of 2154430020 in words is "two billion, one hundred fifty-four million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 107 146 214 219 292 321 365 428 438 535 642 730 876 1070 1095 1284 1460 1605 2140 2190 3210 4380 4597 6420 7811 9194 13791 15622 18388 22985 23433 27582 31244 39055 45970 46866 55164 68955 78110 91940 93732 117165 137910 156220 234330 275820 335581 468660 491879 671162 983758 1006743 1342324 1475637 1677905 1967516 2013486 2459395 2951274 3355810 4026972 4918790 5033715 5902548 6711620 7378185 9837580 10067430 14756370 20134860 29512740 35907167 71814334 107721501 143628668 179535835 215443002 359071670 430886004 538607505 718143340 1077215010 2154430020