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1220032044 = 223571116301
BaseRepresentation
bin100100010111000…
…0011011000101100
310011000201001100000
41020232003120230
54444312011134
6321021304300
742143046510
oct11056033054
93130631300
101220032044
11576749150
122a0705090
131659b936a
14b8066140
1572195e99
hex48b8362c

1220032044 has 144 divisors (see below), whose sum is σ = 3987599616. Its totient is φ = 316872000.

The previous prime is 1220031949. The next prime is 1220032057. The reversal of 1220032044 is 4402300221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66694 + ... + 82994.

It is an arithmetic number, because the mean of its divisors is an integer number (27691664).

Almost surely, 21220032044 is an apocalyptic number.

1220032044 is a gapful number since it is divisible by the number (14) 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 1220032044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993799808).

1220032044 is an abundant number, since it is smaller than the sum of its proper divisors (2767567572).

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

1220032044 is a wasteful number, since it uses less digits than its factorization.

1220032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16338 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1220032044 is about 34928.9570986596. The cubic root of 1220032044 is about 1068.5390852491.

Adding to 1220032044 its reverse (4402300221), we get a palindrome (5622332265).

It can be divided in two parts, 12200 and 32044, that added together give a palindrome (44244).

The spelling of 1220032044 in words is "one billion, two hundred twenty million, thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2673 2772 3402 3564 4158 5346 6237 6804 8316 10692 12474 16301 18711 24948 32602 37422 48903 65204 74844 97806 114107 146709 179311 195612 228214 293418 342321 358622 440127 456428 537933 586836 684642 717244 880254 1026963 1075866 1255177 1320381 1369284 1613799 1760508 2053926 2151732 2510354 2640762 3080889 3227598 3765531 3961143 4107852 4841397 5020708 5281524 6161778 6455196 7531062 7922286 9242667 9682794 11296593 12323556 14524191 15062124 15844572 18485334 19365588 22593186 27728001 29048382 33889779 36970668 43572573 45186372 55456002 58096764 67779558 87145146 101669337 110912004 135559116 174290292 203338674 305008011 406677348 610016022 1220032044