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1220354044 = 227131753612
BaseRepresentation
bin100100010111101…
…0001111111111100
310011001022102000221
41020233101333330
54444402312134
6321032231124
742145560340
oct11057217774
93131272027
101220354044
11576949068
122a083b4a4
13165a9cab0
14b810b620
157220b5b4
hex48bd1ffc

1220354044 has 144 divisors (see below), whose sum is σ = 2882827584. Its totient is φ = 438497280.

The previous prime is 1220354041. The next prime is 1220354087. The reversal of 1220354044 is 4404530221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220354041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20005774 + ... + 20005834.

It is an arithmetic number, because the mean of its divisors is an integer number (20019636).

Almost surely, 21220354044 is an apocalyptic number.

1220354044 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 1220354044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441413792).

1220354044 is an abundant number, since it is smaller than the sum of its proper divisors (1662473540).

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

1220354044 is a wasteful number, since it uses less digits than its factorization.

1220354044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1220354044 is about 34933.5661506237. The cubic root of 1220354044 is about 1068.6330825945.

Adding to 1220354044 its reverse (4404530221), we get a palindrome (5624884265).

The spelling of 1220354044 in words is "one billion, two hundred twenty million, three hundred fifty-four thousand, forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 53 61 68 91 106 119 122 182 212 221 238 244 364 371 427 442 476 689 742 793 854 884 901 1037 1378 1484 1547 1586 1708 1802 2074 2756 3094 3172 3233 3604 3721 4148 4823 5551 6188 6307 6466 7259 7442 9646 11102 11713 12614 12932 13481 14518 14884 19292 22204 22631 23426 25228 26047 26962 29036 42029 45262 46852 48373 52094 53924 54961 63257 81991 84058 90524 94367 96746 104188 109922 126514 163982 168116 188734 193492 197213 219844 253028 294203 327964 338611 377468 384727 394426 442799 588406 677222 714493 769454 788852 822341 885598 1176812 1354444 1380491 1428986 1538908 1644682 1771196 2563769 2760982 2857972 3289364 3352621 5001451 5127538 5521964 5756387 6705242 10002902 10255076 11512774 13410484 17946383 20005804 23025548 23468347 35892766 43584073 46936694 71785532 87168146 93873388 174336292 305088511 610177022 1220354044