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223221541230 = 233519349124679
BaseRepresentation
bin1100111111100100001…
…0100110100101101110
3210100011200201012112000
43033321002212211232
512124124203304410
6250314020153130
722061431536252
oct3177102464556
9710150635460
10223221541230
1186738816896
12373185387a6
131808526840c
14ab3819c262
155c16e45dc0
hex33f90a696e

223221541230 has 128 divisors (see below), whose sum is σ = 628387200000. Its totient is φ = 56230775424.

The previous prime is 223221541157. The next prime is 223221541289. The reversal of 223221541230 is 32145122322.

223221541230 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 215 + 412 + 30 = 666.

It is a super-3 number, since 3×2232215412303 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223221541194 and 223221541203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1728031 + ... + 1852709.

It is an arithmetic number, because the mean of its divisors is an integer number (4909275000).

Almost surely, 2223221541230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223221541230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314193600000).

223221541230 is an abundant number, since it is smaller than the sum of its proper divisors (405165658770).

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

223221541230 is a wasteful number, since it uses less digits than its factorization.

223221541230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125063 (or 125057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 223221541230 its reverse (32145122322), we get a palindrome (255366663552).

The spelling of 223221541230 in words is "two hundred twenty-three billion, two hundred twenty-one million, five hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 349 513 570 698 855 1026 1047 1710 1745 2094 2565 3141 3490 5130 5235 6282 6631 9423 10470 13262 15705 18846 19893 31410 33155 39786 47115 59679 66310 94230 99465 119358 124679 179037 198930 249358 298395 358074 374037 596790 623395 748074 895185 1122111 1246790 1790370 1870185 2244222 2368901 3366333 3740370 4737802 5610555 6732666 7106703 11221110 11844505 14213406 16831665 21320109 23689010 33663330 35533515 42640218 43512971 63960327 71067030 87025942 106600545 127920654 130538913 213201090 217564855 261077826 319801635 391616739 435129710 639603270 652694565 783233478 826746449 1174850217 1305389130 1653492898 1958083695 2349700434 2480239347 3916167390 4133732245 4960478694 5874251085 7440718041 8267464490 11748502170 12401196735 14881436082 22322154123 24802393470 37203590205 44644308246 74407180410 111610770615 223221541230