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424420002204 = 2231124615211217
BaseRepresentation
bin1100010110100010110…
…01110100100110011100
31111120111120010000101220
412023101121310212130
523423203010032304
6522550441333340
742443344331502
oct6132131644634
91446446100356
10424420002204
11153aa5032500
126a309497250
133103a9603a3
14167834cc672
15b0906eead9
hex62d167499c

424420002204 has 144 divisors (see below), whose sum is σ = 1093879388448. Its totient is φ = 127981568000.

The previous prime is 424420002173. The next prime is 424420002257. The reversal of 424420002204 is 402200024424.

It is a congruent number.

It is an unprimeable number.

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, 348742204 + ... + 348743420.

It is an arithmetic number, because the mean of its divisors is an integer number (7596384642).

Almost surely, 2424420002204 is an apocalyptic number.

424420002204 is a gapful number since it is divisible by the number (44) 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 424420002204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546939694224).

424420002204 is an abundant number, since it is smaller than the sum of its proper divisors (669459386244).

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

424420002204 is a wasteful number, since it uses less digits than its factorization.

424420002204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 424420002204 its reverse (402200024424), we get a palindrome (826620026628).

The spelling of 424420002204 in words is "four hundred twenty-four billion, four hundred twenty million, two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 461 484 521 726 922 1042 1217 1383 1452 1563 1844 2084 2434 2766 3126 3651 4868 5071 5532 5731 6252 7302 10142 11462 13387 14604 15213 17193 20284 22924 26774 30426 34386 40161 53548 55781 60852 63041 68772 80322 111562 126082 147257 160644 167343 189123 223124 240181 252164 294514 334686 378246 441771 480362 561037 589028 634057 669372 720543 756492 883542 960724 1122074 1268114 1441086 1683111 1767084 1902171 2244148 2536228 2641991 2882172 3366222 3804342 5283982 6171407 6732444 6974627 7608684 7925973 10567964 12342814 13949254 15851946 18514221 20923881 24685628 27898508 29061901 31703892 37028442 41847762 58123802 67885477 74056884 76720897 83695524 87185703 116247604 135770954 153441794 174371406 203656431 230162691 271541908 292300277 306883588 348742812 407312862 460325382 584600554 814625724 876900831 920650764 1169201108 1753801662 3215303047 3507603324 6430606094 9645909141 12861212188 19291818282 35368333517 38583636564 70736667034 106105000551 141473334068 212210001102 424420002204