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1244111220 = 22325113120269
BaseRepresentation
bin100101000100111…
…1010000101110100
310012201000101202100
41022021322011310
510021443024340
6323241342100
742554525262
oct11211720564
93181011670
101244111220
115892a51a0
122a8797930
1316a99a3b1
14bb333432
1574350830
hex4a27a174

1244111220 has 144 divisors (see below), whose sum is σ = 4249889280. Its totient is φ = 291859200.

The previous prime is 1244111179. The next prime is 1244111237. The reversal of 1244111220 is 221114421.

1244111220 is a `hidden beast` number, since 1 + 2 + 441 + 1 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1244111193 and 1244111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51246 + ... + 71514.

It is an arithmetic number, because the mean of its divisors is an integer number (29513120).

Almost surely, 21244111220 is an apocalyptic number.

1244111220 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 1244111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124944640).

1244111220 is an abundant number, since it is smaller than the sum of its proper divisors (3005778060).

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

1244111220 is a wasteful number, since it uses less digits than its factorization.

1244111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20326 (or 20321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1244111220 is about 35271.9608187580. The cubic root of 1244111220 is about 1075.5230827321.

Adding to 1244111220 its reverse (221114421), we get a palindrome (1465225641).

The spelling of 1244111220 in words is "one billion, two hundred forty-four million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20269 20460 30690 40538 60807 61380 81076 101345 121614 182421 202690 222959 243228 304035 364842 405380 445918 608070 628339 668877 729684 891836 912105 1114795 1216140 1256678 1337754 1824210 1885017 2006631 2229590 2513356 2675508 3141695 3344385 3648420 3770034 4013262 4459180 5655051 6283390 6688770 6911729 7540068 8026524 9425085 10033155 11310102 12566780 13377540 13823458 18850170 20066310 20735187 22620204 27646916 28275255 34558645 37700340 40132620 41470374 56550510 62205561 69117290 82940748 103675935 113101020 124411122 138234580 207351870 248822244 311027805 414703740 622055610 1244111220