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2152364280 = 2335116724337
BaseRepresentation
bin1000000001001010…
…0111100011111000
312120000001102201120
42000102213203320
513402001124110
6553324345240
7104223536343
oct20022474370
95500042646
102152364280
11a04a54160
125009a5220
13283bc3441
14165bdb45a
15c8e5c870
hex804a78f8

2152364280 has 128 divisors (see below), whose sum is σ = 7149530880. Its totient is φ = 513976320.

The previous prime is 2152364231. The next prime is 2152364297. The reversal of 2152364280 is 824632512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76272 + ... + 100608.

It is an arithmetic number, because the mean of its divisors is an integer number (55855710).

Almost surely, 22152364280 is an apocalyptic number.

2152364280 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 2152364280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574765440).

2152364280 is an abundant number, since it is smaller than the sum of its proper divisors (4997166600).

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

2152364280 is a wasteful number, since it uses less digits than its factorization.

2152364280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24429 (or 24425 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2152364280 is about 46393.5801593281. The cubic root of 2152364280 is about 1291.1358063453.

Adding to 2152364280 its reverse (824632512), we get a palindrome (2976996792).

The spelling of 2152364280 in words is "two billion, one hundred fifty-two million, three hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 14740 17688 22110 24337 29480 44220 48674 73011 88440 97348 121685 146022 194696 243370 267707 292044 365055 486740 535414 584088 730110 803121 973480 1070828 1338535 1460220 1606242 1630579 2141656 2677070 2920440 3212484 3261158 4015605 4891737 5354140 6424968 6522316 8031210 8152895 9783474 10708280 13044632 16062420 16305790 17936369 19566948 24458685 32124840 32611580 35872738 39133896 48917370 53809107 65223160 71745476 89681845 97834740 107618214 143490952 179363690 195669480 215236428 269045535 358727380 430472856 538091070 717454760 1076182140 2152364280