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2149400088 = 2332115215209
BaseRepresentation
bin1000000000011101…
…0011111000011000
312112210110211121200
42000013103320120
513400221300323
6553141034200
7104156412363
oct20007237030
95483424550
102149400088
11a0330a110
124bb9b5960
132833c6194
141656690da
15c8a74443
hex801d3e18

2149400088 has 96 divisors (see below), whose sum is σ = 6363910800. Its totient is φ = 649958400.

The previous prime is 2149400051. The next prime is 2149400093. The reversal of 2149400088 is 8800049412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410028 + ... + 415236.

Almost surely, 22149400088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149400088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181955400).

2149400088 is an abundant number, since it is smaller than the sum of its proper divisors (4214510712).

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

2149400088 is a wasteful number, since it uses less digits than its factorization.

2149400088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2149400088 is about 46361.6230086911. The cubic root of 2149400088 is about 1290.5428254528.

The spelling of 2149400088 in words is "two billion, one hundred forty-nine million, four hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 521 792 1042 1563 2084 3126 4168 4689 5209 5731 6252 9378 10418 11462 12504 15627 17193 18756 20836 22924 31254 34386 37512 41672 45848 46881 51579 57299 62508 68772 93762 103158 114598 125016 137544 171897 187524 206316 229196 343794 375048 412632 458392 515691 687588 1031382 1375176 2062764 2713889 4125528 5427778 8141667 10855556 16283334 21711112 24425001 29852779 32566668 48850002 59705558 65133336 89558337 97700004 119411116 179116674 195400008 238822232 268675011 358233348 537350022 716466696 1074700044 2149400088