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202222433420 = 225717301128219
BaseRepresentation
bin1011110001010101100…
…1010111010010001100
3201022222020012000000022
42330111121113102030
511303122420332140
6232522200321312
720416155215510
oct2742531272214
9638866160008
10202222433420
1178842323337
1233237a73238
13160b98a6737
149b0531c140
1553d86230b5
hex2f1565748c

202222433420 has 96 divisors (see below), whose sum is σ = 514071774720. Its totient is φ = 65230986240.

The previous prime is 202222433419. The next prime is 202222433423. The reversal of 202222433420 is 24334222202.

202222433420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202222433420.

It is not an unprimeable number, because it can be changed into a prime (202222433423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7152071 + ... + 7180289.

It is an arithmetic number, because the mean of its divisors is an integer number (5354914320).

Almost surely, 2202222433420 is an apocalyptic number.

202222433420 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 202222433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257035887360).

202222433420 is an abundant number, since it is smaller than the sum of its proper divisors (311849341300).

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

202222433420 is a wasteful number, since it uses less digits than its factorization.

202222433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31263 (or 31261 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 202222433420 its reverse (24334222202), we get a palindrome (226556655622).

The spelling of 202222433420 in words is "two hundred two billion, two hundred twenty-two million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 3011 6022 12044 15055 21077 28219 30110 42154 51187 56438 60220 84308 102374 105385 112876 141095 197533 204748 210770 255935 282190 358309 395066 421540 479723 511870 564380 716618 790132 959446 987665 1023740 1433236 1791545 1918892 1975330 2398615 3358061 3583090 3950660 4797230 6716122 7166180 9594460 13432244 16790305 33580610 67161220 84967409 169934818 339869636 424837045 594771863 849674090 1189543726 1444445953 1699348180 2379087452 2888891906 2973859315 5777783812 5947718630 7222229765 10111121671 11895437260 14444459530 20222243342 28888919060 40444486684 50555608355 101111216710 202222433420