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213701220 = 223351723279
BaseRepresentation
bin11001011110011…
…01001001100100
3112220010010222000
430233031021210
5414201414340
633112205300
75203300425
oct1457151144
9486103860
10213701220
11aa6a0987
125b699830
1335373735
142054b64c
1513b63d30
hexcbcd264

213701220 has 96 divisors (see below), whose sum is σ = 703987200. Its totient is φ = 53632512.

The previous prime is 213701209. The next prime is 213701263. The reversal of 213701220 is 22107312.

213701220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2137012202 = 91336422858976800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213701193 and 213701202.

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, 2460 + ... + 20819.

It is an arithmetic number, because the mean of its divisors is an integer number (7333200).

Almost surely, 2213701220 is an apocalyptic number.

213701220 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 213701220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351993600).

213701220 is an abundant number, since it is smaller than the sum of its proper divisors (490285980).

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

213701220 is a wasteful number, since it uses less digits than its factorization.

213701220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23314 (or 23306 counting only the distinct ones).

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

The square root of 213701220 is about 14618.5231812246. The cubic root of 213701220 is about 597.8639041826.

Adding to 213701220 its reverse (22107312), we get a palindrome (235808532).

The spelling of 213701220 in words is "two hundred thirteen million, seven hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 23279 46558 69837 93116 116395 139674 209511 232790 279348 349185 395743 419022 465580 628533 698370 791486 838044 1047555 1187229 1257066 1396740 1582972 1978715 2095110 2374458 2514132 3142665 3561687 3957430 4190220 4748916 5936145 6285330 7123374 7914860 10685061 11872290 12570660 14246748 17808435 21370122 23744580 35616870 42740244 53425305 71233740 106850610 213701220