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214472280 = 233511473457
BaseRepresentation
bin11001100100010…
…01011001011000
3112221120022122210
430302021121120
5414401103110
633140515120
75212661421
oct1462113130
9487508583
10214472280
11100078220
125b9abaa0
1335583699
14206ac648
1513c67520
hexcc89658

214472280 has 128 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 50872320.

The previous prime is 214472227. The next prime is 214472287. The reversal of 214472280 is 82274412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214472287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60312 + ... + 63768.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2214472280 is an apocalyptic number.

214472280 is a gapful number since it is divisible by the number (20) 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 214472280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

214472280 is an abundant number, since it is smaller than the sum of its proper divisors (502578600).

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

214472280 is a wasteful number, since it uses less digits than its factorization.

214472280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 214472280 is about 14644.8721401042. The cubic root of 214472280 is about 598.5820963326.

The spelling of 214472280 in words is "two hundred fourteen million, four hundred seventy-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 3457 4136 5170 5640 6204 6914 7755 10340 10371 12408 13828 15510 17285 20680 20742 27656 31020 34570 38027 41484 51855 62040 69140 76054 82968 103710 114081 138280 152108 162479 190135 207420 228162 304216 324958 380270 414840 456324 487437 570405 649916 760540 812395 912648 974874 1140810 1299832 1521080 1624790 1787269 1949748 2281620 2437185 3249580 3574538 3899496 4563240 4874370 5361807 6499160 7149076 8936345 9748740 10723614 14298152 17872690 19497480 21447228 26809035 35745380 42894456 53618070 71490760 107236140 214472280