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2202242020 = 2251129418419
BaseRepresentation
bin1000001101000011…
…1000101111100100
312200110220111010021
42003100320233210
514002233221040
61002305404524
7105400514446
oct20320705744
95613814107
102202242020
11a30121030
12515639744
13291337cb4
1416c6a2496
15cd51124a
hex83438be4

2202242020 has 96 divisors (see below), whose sum is σ = 5347036800. Its totient is φ = 754252800.

The previous prime is 2202241967. The next prime is 2202242051. The reversal of 2202242020 is 202422022.

It is a junction number, because it is equal to n+sod(n) for n = 2202241985 and 2202242003.

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, 257371 + ... + 265789.

It is an arithmetic number, because the mean of its divisors is an integer number (55698300).

Almost surely, 22202242020 is an apocalyptic number.

2202242020 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 2202242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673518400).

2202242020 is an abundant number, since it is smaller than the sum of its proper divisors (3144794780).

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

2202242020 is a wasteful number, since it uses less digits than its factorization.

2202242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2202242020 is about 46928.0515257133. The cubic root of 2202242020 is about 1301.0331077676.

Adding to 2202242020 its reverse (202422022), we get a palindrome (2404664042).

The spelling of 2202242020 in words is "two billion, two hundred two million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 41 44 55 58 82 110 116 145 164 205 220 290 319 410 451 580 638 820 902 1189 1276 1595 1804 2255 2378 3190 4510 4756 5945 6380 8419 9020 11890 13079 16838 23780 26158 33676 42095 52316 65395 84190 92609 130790 168380 185218 244151 261580 345179 370436 463045 488302 690358 926090 976604 1220755 1380716 1725895 1852180 2441510 2685661 3451790 3796969 4883020 5371322 6903580 7593938 10010191 10742644 13428305 15187876 18984845 20020382 26856610 37969690 40040764 50050955 53713220 75939380 100101910 110112101 200203820 220224202 440448404 550560505 1101121010 2202242020