Search a number
-
+
215836896 = 253112171093
BaseRepresentation
bin11001101110101…
…10100011100000
3120001010122120010
430313112203200
5420223240041
633230044520
75230404042
oct1467264340
9501118503
10215836896
1110091a500
1260349740
1335940852
1420945a92
1513e36a16
hexcdd68e0

215836896 has 144 divisors (see below), whose sum is σ = 659997072. Its totient is φ = 61501440.

The previous prime is 215836891. The next prime is 215836897. The reversal of 215836896 is 698638512.

It is a happy number.

215836896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215836891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196926 + ... + 198018.

It is an arithmetic number, because the mean of its divisors is an integer number (4583313).

Almost surely, 2215836896 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 215836896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329998536).

215836896 is an abundant number, since it is smaller than the sum of its proper divisors (444160176).

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

215836896 is a wasteful number, since it uses less digits than its factorization.

215836896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1126 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 215836896 is about 14691.3884980284. The cubic root of 215836896 is about 599.8489397490.

The spelling of 215836896 in words is "two hundred fifteen million, eight hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 121 132 136 176 187 204 242 264 272 352 363 374 408 484 528 544 561 726 748 816 968 1056 1093 1122 1452 1496 1632 1936 2057 2186 2244 2904 2992 3279 3872 4114 4372 4488 5808 5984 6171 6558 8228 8744 8976 11616 12023 12342 13116 16456 17488 17952 18581 24046 24684 26232 32912 34976 36069 37162 48092 49368 52464 55743 65824 72138 74324 96184 98736 104928 111486 132253 144276 148648 192368 197472 204391 222972 264506 288552 297296 384736 396759 408782 445944 529012 577104 594592 613173 793518 817564 891888 1058024 1154208 1226346 1587036 1635128 1783776 2116048 2248301 2452692 3174072 3270256 4232096 4496602 4905384 6348144 6540512 6744903 8993204 9810768 12696288 13489806 17986408 19621536 26979612 35972816 53959224 71945632 107918448 215836896