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1244422100 = 2252171959653
BaseRepresentation
bin100101000101100…
…0101111111010100
310012201121012012102
41022023011333110
510022033001400
6323252141232
742560261525
oct11213057724
93181535172
101244422100
11589497819
122a8907818
1316aa78a4c
14bb3b484c
15743b29d5
hex4a2c5fd4

1244422100 has 144 divisors (see below), whose sum is σ = 3065428800. Its totient is φ = 435640320.

The previous prime is 1244422099. The next prime is 1244422169. The reversal of 1244422100 is 12244421.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1905374 + ... + 1906026.

It is an arithmetic number, because the mean of its divisors is an integer number (21287700).

Almost surely, 21244422100 is an apocalyptic number.

1244422100 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 1244422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532714400).

1244422100 is an abundant number, since it is smaller than the sum of its proper divisors (1821006700).

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

1244422100 is a wasteful number, since it uses less digits than its factorization.

1244422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1244422100 is about 35276.3674433749. The cubic root of 1244422100 is about 1075.6126596028.

Adding to 1244422100 its reverse (12244421), we get a palindrome (1256666521).

The spelling of 1244422100 in words is "one billion, two hundred forty-four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 59 68 76 85 95 100 118 170 190 236 295 323 340 380 425 475 590 646 653 850 950 1003 1121 1180 1292 1306 1475 1615 1700 1900 2006 2242 2612 2950 3230 3265 4012 4484 5015 5605 5900 6460 6530 8075 10030 11101 11210 12407 13060 16150 16325 19057 20060 22202 22420 24814 25075 28025 32300 32650 38114 38527 44404 49628 50150 55505 56050 62035 65300 76228 77054 95285 100300 111010 112100 124070 154108 190570 192635 210919 222020 248140 277525 310175 381140 385270 421838 476425 555050 620350 654959 732013 770540 843676 952850 963175 1054595 1110100 1240700 1309918 1464026 1905700 1926350 2109190 2619836 2928052 3274795 3660065 3852700 4218380 5272975 6549590 7320130 10545950 12444221 13099180 14640260 16373975 18300325 21091900 24888442 32747950 36600650 49776884 62221105 65495900 73201300 124442210 248884420 311105525 622211050 1244422100