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211400928 = 253481559
BaseRepresentation
bin11001001100110…
…11100011100000
3112201210021120000
430212123203200
5413104312203
632551020000
75144610144
oct1446334340
9481707500
10211400928
11a936a712
125a96a600
1334a4970b
142010d224
151385c4a3
hexc99b8e0

211400928 has 60 divisors (see below), whose sum is σ = 621731880. Its totient is φ = 70466112.

The previous prime is 211400921. The next prime is 211400939. The reversal of 211400928 is 829004112.

It is a super-2 number, since 2×2114009282 = 89380704718522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211400921) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 38188 + ... + 43371.

It is an arithmetic number, because the mean of its divisors is an integer number (10362198).

Almost surely, 2211400928 is an apocalyptic number.

It is an amenable number.

211400928 is an abundant number, since it is smaller than the sum of its proper divisors (410330952).

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

211400928 is an equidigital number, since it uses as much as digits as its factorization.

211400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81581 (or 81564 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 211400928 is about 14539.6330077482. The cubic root of 211400928 is about 595.7110140526.

The spelling of 211400928 in words is "two hundred eleven million, four hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 81559 163118 244677 326236 489354 652472 734031 978708 1304944 1468062 1957416 2202093 2609888 2936124 3914832 4404186 5872248 6606279 7829664 8808372 11744496 13212558 17616744 23488992 26425116 35233488 52850232 70466976 105700464 211400928