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221514240 = 293528843
BaseRepresentation
bin11010011010000…
…00101000000000
3120102211002102010
431031000220000
5423201423430
633551452520
75326561053
oct1515005000
9512732363
10221514240
11104047a22
1262227140
1336b7aa1c
14215c2a9a
15146a8cb0
hexd340a00

221514240 has 80 divisors (see below), whose sum is σ = 708177888. Its totient is φ = 59068416.

The previous prime is 221514203. The next prime is 221514247. The reversal of 221514240 is 42415122.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (221514247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6742 + ... + 22101.

Almost surely, 2221514240 is an apocalyptic number.

221514240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221514240 is an abundant number, since it is smaller than the sum of its proper divisors (486663648).

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

221514240 is an equidigital number, since it uses as much as digits as its factorization.

221514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28869 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 221514240 is about 14883.3544606046. The cubic root of 221514240 is about 605.0629354195.

Adding to 221514240 its reverse (42415122), we get a palindrome (263929362).

The spelling of 221514240 in words is "two hundred twenty-one million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 28843 57686 86529 115372 144215 173058 230744 288430 346116 432645 461488 576860 692232 865290 922976 1153720 1384464 1730580 1845952 2307440 2768928 3461160 3691904 4614880 5537856 6922320 7383808 9229760 11075712 13844640 14767616 18459520 22151424 27689280 36919040 44302848 55378560 73838080 110757120 221514240