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1233223420 = 2251113241809
BaseRepresentation
bin100100110000001…
…0111111011111100
310011221112020111111
41021200113323330
510011201122140
6322212131404
742363140362
oct11140277374
93157466444
101233223420
11583139010
122a5006b64
13168657700
14b9adb632
15733ee7ea
hex49817efc

1233223420 has 144 divisors (see below), whose sum is σ = 3137732640. Its totient is φ = 403353600.

The previous prime is 1233223393. The next prime is 1233223423. The reversal of 1233223420 is 243223321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1233223391 and 1233223400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233223423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523976 + ... + 1524784.

It is an arithmetic number, because the mean of its divisors is an integer number (21789810).

Almost surely, 21233223420 is an apocalyptic number.

1233223420 is a gapful number since it is divisible by the number (10) 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 1233223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568866320).

1233223420 is an abundant number, since it is smaller than the sum of its proper divisors (1904509220).

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

1233223420 is a wasteful number, since it uses less digits than its factorization.

1233223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1233223420 is about 35117.2809311883. The cubic root of 1233223420 is about 1072.3764167366.

Adding to 1233223420 its reverse (243223321), we get a palindrome (1476446741).

Subtracting from 1233223420 its reverse (243223321), we obtain a palindrome (990000099).

The spelling of 1233223420 in words is "one billion, two hundred thirty-three million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 110 130 143 164 169 205 220 260 286 338 410 451 533 572 676 715 809 820 845 902 1066 1430 1618 1690 1804 1859 2132 2255 2665 2860 3236 3380 3718 4045 4510 5330 5863 6929 7436 8090 8899 9020 9295 10517 10660 11726 13858 16180 17798 18590 21034 23452 27716 29315 33169 34645 35596 37180 42068 44495 52585 58630 66338 69290 76219 88990 105170 115687 117260 132676 136721 138580 152438 165845 177980 210340 231374 273442 304876 331690 364859 381095 431197 462748 546884 578435 663380 683605 729718 762190 862394 1156870 1367210 1459436 1503931 1524380 1724788 1824295 2155985 2313740 2734420 3007862 3648590 4311970 4743167 5605561 6015724 7297180 7519655 8623940 9486334 11211122 15039310 18972668 22422244 23715835 28027805 30078620 47431670 56055610 61661171 94863340 112111220 123322342 246644684 308305855 616611710 1233223420