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211030704 = 24332367317
BaseRepresentation
bin11001001010000…
…01001010110000
3112201002110201000
430211001022300
5413010440304
632535042000
75141505603
oct1445011260
9481073630
10211030704
11a9137545
125a810300
133494a051
142005433a
15137d7939
hexc9412b0

211030704 has 160 divisors (see below), whose sum is σ = 643530240. Its totient is φ = 66071808.

The previous prime is 211030691. The next prime is 211030723. The reversal of 211030704 is 407030112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665554 + ... + 665870.

It is an arithmetic number, because the mean of its divisors is an integer number (4022064).

Almost surely, 2211030704 is an apocalyptic number.

211030704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211030704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321765120).

211030704 is an abundant number, since it is smaller than the sum of its proper divisors (432499536).

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

211030704 is a wasteful number, since it uses less digits than its factorization.

211030704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 211030704 is about 14526.8958831541. The cubic root of 211030704 is about 595.3630569129.

Adding to 211030704 its reverse (407030112), we get a palindrome (618060816).

The spelling of 211030704 in words is "two hundred eleven million, thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 67 69 72 92 108 134 138 144 184 201 207 216 268 276 317 368 402 414 432 536 552 603 621 634 804 828 951 1072 1104 1206 1242 1268 1541 1608 1656 1809 1902 2412 2484 2536 2853 3082 3216 3312 3618 3804 4623 4824 4968 5072 5706 6164 7236 7291 7608 8559 9246 9648 9936 11412 12328 13869 14472 14582 15216 17118 18492 21239 21873 22824 24656 27738 28944 29164 34236 36984 41607 42478 43746 45648 55476 58328 63717 65619 68472 73968 83214 84956 87492 110952 116656 127434 131238 136944 166428 169912 174984 191151 196857 221904 254868 262476 332856 339824 349968 382302 393714 488497 509736 524952 573453 665712 764604 787428 976994 1019472 1049904 1146906 1465491 1529208 1574856 1953988 2293812 2930982 3058416 3149712 3907976 4396473 4587624 5861964 7815952 8792946 9175248 11723928 13189419 17585892 23447856 26378838 35171784 52757676 70343568 105515352 211030704