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421224100 = 2252111672293
BaseRepresentation
bin11001000110110…
…101111010100100
31002100121101211121
4121012311322210
51330313132400
6105444143324
713303226413
oct3106657244
91070541747
10421224100
111a68519a0
12b9097b44
1369362c3b
143dd2b47a
1526ea721a
hex191b5ea4

421224100 has 72 divisors (see below), whose sum is σ = 1003560768. Its totient is φ = 152188800.

The previous prime is 421224077. The next prime is 421224121. The reversal of 421224100 is 1422124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182554 + ... + 184846.

It is an arithmetic number, because the mean of its divisors is an integer number (13938344).

Almost surely, 2421224100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501780384).

421224100 is an abundant number, since it is smaller than the sum of its proper divisors (582336668).

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

421224100 is a wasteful number, since it uses less digits than its factorization.

421224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 421224100 is about 20523.7447850045. The cubic root of 421224100 is about 749.6140829396.

Adding to 421224100 its reverse (1422124), we get a palindrome (422646224).

The spelling of 421224100 in words is "four hundred twenty-one million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 835 1100 1670 1837 2293 3340 3674 4175 4586 7348 8350 9172 9185 11465 16700 18370 22930 25223 36740 45860 45925 50446 57325 91850 100892 114650 126115 183700 229300 252230 382931 504460 630575 765862 1261150 1531724 1914655 2522300 3829310 4212241 7658620 8424482 9573275 16848964 19146550 21061205 38293100 42122410 84244820 105306025 210612050 421224100