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242470100 = 225224110061
BaseRepresentation
bin11100111001111…
…00110011010100
3121220020202110002
432130330303110
5444033020400
640020550432
76002650625
oct1634746324
9556222402
10242470100
11114960414
1269252418
133b307242
14242b9a4c
1516447ed5
hexe73ccd4

242470100 has 36 divisors (see below), whose sum is σ = 528395868. Its totient is φ = 96576000.

The previous prime is 242470097. The next prime is 242470103. The reversal of 242470100 is 1074242.

It is an interprime number because it is at equal distance from previous prime (242470097) and next prime (242470103).

It can be written as a sum of positive squares in 6 ways, for example, as 169744 + 242300356 = 412^2 + 15566^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242470103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19070 + ... + 29130.

It is an arithmetic number, because the mean of its divisors is an integer number (14677663).

Almost surely, 2242470100 is an apocalyptic number.

242470100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242470100 is an abundant number, since it is smaller than the sum of its proper divisors (285925768).

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

242470100 is a wasteful number, since it uses less digits than its factorization.

242470100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10316 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 242470100 is about 15571.4514416608. The cubic root of 242470100 is about 623.5712215698.

The spelling of 242470100 in words is "two hundred forty-two million, four hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 10061 12050 20122 24100 40244 50305 100610 201220 251525 503050 1006100 2424701 4849402 9698804 12123505 24247010 48494020 60617525 121235050 242470100