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242022440 = 23511563977
BaseRepresentation
bin11100110110011…
…11100000101000
3121212102000101002
432123033200220
5443424204230
640003214132
75666104532
oct1633174050
9555360332
10242022440
11114685050
1269077348
133b1ab55a
1424200852
15163aa545
hexe6cf828

242022440 has 64 divisors (see below), whose sum is σ = 595719360. Its totient is φ = 87761920.

The previous prime is 242022427. The next prime is 242022461. The reversal of 242022440 is 44220242.

242022440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420224402 = 117149722927107200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247232 + ... + 248208.

It is an arithmetic number, because the mean of its divisors is an integer number (9308115).

Almost surely, 2242022440 is an apocalyptic number.

242022440 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 242022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297859680).

242022440 is an abundant number, since it is smaller than the sum of its proper divisors (353696920).

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

242022440 is a wasteful number, since it uses less digits than its factorization.

242022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242022440 is about 15557.0704183018. The cubic root of 242022440 is about 623.1872293970.

Adding to 242022440 its reverse (44220242), we get a palindrome (286242682).

The spelling of 242022440 in words is "two hundred forty-two million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 563 977 1126 1954 2252 2815 3908 4504 4885 5630 6193 7816 9770 10747 11260 12386 19540 21494 22520 24772 30965 39080 42988 49544 53735 61930 85976 107470 123860 214940 247720 429880 550051 1100102 2200204 2750255 4400408 5500510 6050561 11001020 12101122 22002040 24202244 30252805 48404488 60505610 121011220 242022440