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2224003131020 = 2251127150877333
BaseRepresentation
bin100000010111010000111…
…010101010011010001100
321212121112121020221010002
4200113100322222122030
5242414224300143040
64421405401303432
7316451604462626
oct40272072523214
97777477227102
102224003131020
11788215873650
122bb03a194b78
13131951707a48
14798dc783c16
153ccb8860a15
hex205d0eaa68c

2224003131020 has 96 divisors (see below), whose sum is σ = 5115492458496. Its totient is φ = 805475923200.

The previous prime is 2224003131001. The next prime is 2224003131029. The reversal of 2224003131020 is 201313004222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2224003130983 and 2224003131001.

It is not an unprimeable number, because it can be changed into a prime (2224003131029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303283274 + ... + 303290606.

It is an arithmetic number, because the mean of its divisors is an integer number (53286379776).

Almost surely, 22224003131020 is an apocalyptic number.

2224003131020 is a gapful number since it is divisible by the number (20) 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 2224003131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557746229248).

2224003131020 is an abundant number, since it is smaller than the sum of its proper divisors (2891489327476).

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

2224003131020 is a wasteful number, since it uses less digits than its factorization.

2224003131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12711 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2224003131020 its reverse (201313004222), we get a palindrome (2425316135242).

The spelling of 2224003131020 in words is "two trillion, two hundred twenty-four billion, three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5087 5420 5962 7333 10174 11924 14666 14905 20348 25435 29332 29810 36665 50870 55957 59620 73330 80663 101740 111914 146660 161326 223828 279785 322652 403315 559570 806630 1119140 1378577 1613260 1987243 2757154 3974486 5514308 6892885 7948972 9936215 13785770 15164347 19872430 21859673 27571540 30328694 37302971 39744860 43719346 60657388 74605942 75821735 87438692 109298365 149211884 151643470 186514855 218596730 303286940 373029710 410332681 437193460 746059420 820665362 1641330724 2051663405 4103326810 8206653620 10109105141 20218210282 40436420564 50545525705 101091051410 111200156551 202182102820 222400313102 444800626204 556000782755 1112001565510 2224003131020