Search a number
-
+
1223013132 = 22321123472857
BaseRepresentation
bin100100011100101…
…1011001100001100
310011020022111121200
41020321123030030
510001042410012
6321205225500
742210303645
oct11071331414
93136274550
101223013132
115783a4960
122a1702290
131664c1213
14b86006cc
15725843dc
hex48e5b30c

1223013132 has 144 divisors (see below), whose sum is σ = 3595318272. Its totient is φ = 346832640.

The previous prime is 1223013097. The next prime is 1223013137. The reversal of 1223013132 is 2313103221.

It is a super-2 number, since 2×12230131322 = 2991522242088898848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1223013137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426648 + ... + 429504.

It is an arithmetic number, because the mean of its divisors is an integer number (24967488).

Almost surely, 21223013132 is an apocalyptic number.

1223013132 is a gapful number since it is divisible by the number (12) 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 1223013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797659136).

1223013132 is an abundant number, since it is smaller than the sum of its proper divisors (2372305140).

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

1223013132 is a wasteful number, since it uses less digits than its factorization.

1223013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1223013132 is about 34971.6046529181. The cubic root of 1223013132 is about 1069.4086848396.

Adding to 1223013132 its reverse (2313103221), we get a palindrome (3536116353).

The spelling of 1223013132 in words is "one billion, two hundred twenty-three million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 47 66 69 92 94 99 132 138 141 188 198 207 253 276 282 396 414 423 506 517 564 759 828 846 1012 1034 1081 1518 1551 1692 2068 2162 2277 2857 3036 3102 3243 4324 4554 4653 5714 6204 6486 8571 9108 9306 9729 11428 11891 12972 17142 18612 19458 23782 25713 31427 34284 35673 38916 47564 51426 62854 65711 71346 94281 102852 107019 125708 131422 134279 142692 188562 197133 214038 262844 268558 282843 377124 394266 402837 428076 537116 565686 591399 722821 788532 805674 1131372 1182798 1208511 1445642 1477069 1611348 2168463 2365596 2417022 2891284 2954138 3088417 4336926 4431207 4834044 5908276 6176834 6505389 8673852 8862414 9265251 12353668 13010778 13293621 17724828 18530502 26021556 26587242 27795753 33972587 37061004 53174484 55591506 67945174 101917761 111183012 135890348 203835522 305753283 407671044 611506566 1223013132