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213047808 = 2931741199
BaseRepresentation
bin11001011001011…
…01101000000000
3112211212221122120
430230231220000
5414020012213
633050204240
75164606431
oct1454555000
9484787576
10213047808
11aa294a76
125b423680
13351a51bc
142041b488
1513a85423
hexcb2da00

213047808 has 160 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 64880640.

The previous prime is 213047801. The next prime is 213047837. The reversal of 213047808 is 808740312.

It is not an unprimeable number, because it can be changed into a prime (213047801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1070493 + ... + 1070691.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2213047808 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 213047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

213047808 is an abundant number, since it is smaller than the sum of its proper divisors (405662592).

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

213047808 is a wasteful number, since it uses less digits than its factorization.

213047808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 213047808 is about 14596.1573025232. The cubic root of 213047808 is about 597.2539399866.

The spelling of 213047808 in words is "two hundred thirteen million, forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 199 204 246 256 272 328 384 398 408 492 512 544 597 656 697 768 796 816 984 1088 1194 1312 1394 1536 1592 1632 1968 2091 2176 2388 2624 2788 3184 3264 3383 3936 4182 4352 4776 5248 5576 6368 6528 6766 7872 8159 8364 8704 9552 10149 10496 11152 12736 13056 13532 15744 16318 16728 19104 20298 20992 22304 24477 25472 26112 27064 31488 32636 33456 38208 40596 44608 48954 50944 54128 62976 65272 66912 76416 81192 89216 97908 101888 108256 130544 133824 138703 152832 162384 178432 195816 216512 261088 267648 277406 305664 324768 356864 391632 416109 433024 522176 535296 554812 649536 783264 832218 866048 1044352 1070592 1109624 1299072 1566528 1664436 1732096 2088704 2219248 2598144 3133056 3328872 4177408 4438496 5196288 6266112 6657744 8876992 12532224 13315488 17753984 26630976 35507968 53261952 71015936 106523904 213047808