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202202020240 = 24511773297251
BaseRepresentation
bin1011110001010000101…
…1011111100110010000
3201022220210202220101121
42330110023133212100
511303102204121430
6232520151012024
720415516546043
oct2742413374620
9638823686347
10202202020240
1178831850640
123323106a014
13160b55aa22c
149b02726c5a
1553d693ea7a
hex2f142df990

202202020240 has 80 divisors (see below), whose sum is σ = 513523043136. Its totient is φ = 73432640000.

The previous prime is 202202020213. The next prime is 202202020243. The reversal of 202202020240 is 42020202202.

202202020240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202202020243) 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 15 ways as a sum of consecutive naturals, for example, 531615 + ... + 828865.

Almost surely, 2202202020240 is an apocalyptic number.

202202020240 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 202202020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256761521568).

202202020240 is an abundant number, since it is smaller than the sum of its proper divisors (311321022896).

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

202202020240 is a wasteful number, since it uses less digits than its factorization.

202202020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298048 (or 298042 counting only the distinct ones).

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

Adding to 202202020240 its reverse (42020202202), we get a palindrome (244222222442).

The spelling of 202202020240 in words is "two hundred two billion, two hundred two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 773 880 1546 3092 3865 6184 7730 8503 12368 15460 17006 30920 34012 42515 61840 68024 85030 136048 170060 297251 340120 594502 680240 1189004 1486255 2378008 2972510 3269761 4756016 5945020 6539522 11890040 13079044 16348805 23780080 26158088 32697610 52316176 65395220 130790440 229775023 261580880 459550046 919100092 1148875115 1838200184 2297750230 2527525253 3676400368 4595500460 5055050506 9191000920 10110101012 12637626265 18382001840 20220202024 25275252530 40440404048 50550505060 101101010120 202202020240