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1220131232 = 252331531009
BaseRepresentation
bin100100010111001…
…1011100110100000
310011000220002101122
41020232123212200
54444323144412
6321023351412
742143641625
oct11056334640
93130802348
101220131232
11576806721
122a0752568
13165a22558
14b809034c
15721b5572
hex48b9b9a0

1220131232 has 96 divisors (see below), whose sum is σ = 2638863360. Its totient is φ = 553512960.

The previous prime is 1220131223. The next prime is 1220131267. The reversal of 1220131232 is 2321310221.

It is a self number, because there is not a number n which added to its sum of digits gives 1220131232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208744 + ... + 1209752.

It is an arithmetic number, because the mean of its divisors is an integer number (27488160).

Almost surely, 21220131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319431680).

1220131232 is an abundant number, since it is smaller than the sum of its proper divisors (1418732128).

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

1220131232 is a wasteful number, since it uses less digits than its factorization.

1220131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1220131232 is about 34930.3769232455. The cubic root of 1220131232 is about 1068.5680416970.

Adding to 1220131232 its reverse (2321310221), we get a palindrome (3541441453).

The spelling of 1220131232 in words is "one billion, two hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 46 53 62 92 106 124 184 212 248 368 424 496 713 736 848 992 1009 1219 1426 1643 1696 2018 2438 2852 3286 4036 4876 5704 6572 8072 9752 11408 13144 16144 19504 22816 23207 26288 31279 32288 37789 39008 46414 52576 53477 62558 75578 92828 106954 125116 151156 185656 213908 250232 302312 371312 427816 500464 604624 719417 742624 855632 1000928 1209248 1229971 1438834 1657787 1711264 2459942 2877668 3315574 4919884 5755336 6631148 9839768 11510672 13262296 19679536 23021344 26524592 38129101 39359072 53049184 76258202 152516404 305032808 610065616 1220131232