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2204440020024 = 2331161647211573
BaseRepresentation
bin100000000101000010110…
…111010100010000111000
321210202001012210220220120
4200011002313110100320
5242104143121120044
64404412240053240
7315160036000614
oct40050267242070
97722035726816
102204440020024
1177a996a15820
122b729a604220
1312cb546b9218
14789a4506344
153c521143519
hex20142dd4438

2204440020024 has 128 divisors (see below), whose sum is σ = 6120141857280. Its totient is φ = 656042457600.

The previous prime is 2204440019983. The next prime is 2204440020053. The reversal of 2204440020024 is 4200200444022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2204440019976 and 2204440020003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10313502 + ... + 10525074.

It is an arithmetic number, because the mean of its divisors is an integer number (47813608260).

Almost surely, 22204440020024 is an apocalyptic number.

2204440020024 is a gapful number since it is divisible by the number (24) 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 2204440020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060070928640).

2204440020024 is an abundant number, since it is smaller than the sum of its proper divisors (3915701837256).

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

2204440020024 is a wasteful number, since it uses less digits than its factorization.

2204440020024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212301 (or 212297 counting only the distinct ones).

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

Adding to 2204440020024 its reverse (4200200444022), we get a palindrome (6404640464046).

The spelling of 2204440020024 in words is "two trillion, two hundred four billion, four hundred forty million, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 647 671 732 1294 1342 1464 1941 2013 2588 2684 3882 4026 5176 5368 7117 7764 8052 14234 15528 16104 21351 28468 39467 42702 56936 78934 85404 118401 157868 170808 211573 236802 315736 423146 434137 473604 634719 846292 868274 947208 1269438 1302411 1692584 1736548 2327303 2538876 2604822 3473096 4654606 5077752 5209644 6981909 9309212 10419288 12905953 13963818 18618424 25811906 27927636 38717859 51623812 55855272 77435718 103247624 136887731 141965483 154871436 273775462 283930966 309742872 410663193 425896449 547550924 567861932 821326386 851792898 1095101848 1135723864 1505765041 1642652772 1703585796 3011530082 3285305544 3407171592 4517295123 6023060164 8350151591 9034590246 12046120328 16700303182 18069180492 25050454773 33400606364 36138360984 50100909546 66801212728 91851667501 100201819092 183703335002 200403638184 275555002503 367406670004 551110005006 734813340008 1102220010012 2204440020024