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422121400 = 23525983431
BaseRepresentation
bin11001001010010…
…000111110111000
31002102021222200221
4121022100332320
51331030341100
6105515305424
713313654431
oct3112207670
91072258627
10422121400
111a7305068
12b944b274
13695b849c
14400c2488
15270d301a
hex19290fb8

422121400 has 96 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 163606400.

The previous prime is 422121397. The next prime is 422121421. The reversal of 422121400 is 4121224.

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, 979185 + ... + 979615.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 2422121400 is an apocalyptic number.

422121400 is a gapful number since it is divisible by the number (40) 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 422121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

422121400 is an abundant number, since it is smaller than the sum of its proper divisors (590313800).

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

422121400 is a wasteful number, since it uses less digits than its factorization.

422121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

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

The square root of 422121400 is about 20545.5932014629. The cubic root of 422121400 is about 750.1459863969.

Adding to 422121400 its reverse (4121224), we get a palindrome (426242624).

The spelling of 422121400 in words is "four hundred twenty-two million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 83 100 118 166 200 236 295 332 415 431 472 590 664 830 862 1180 1475 1660 1724 2075 2155 2360 2950 3320 3448 4150 4310 4897 5900 8300 8620 9794 10775 11800 16600 17240 19588 21550 24485 25429 35773 39176 43100 48970 50858 71546 86200 97940 101716 122425 127145 143092 178865 195880 203432 244850 254290 286184 357730 489700 508580 635725 715460 894325 979400 1017160 1271450 1430920 1788650 2110607 2542900 3577300 4221214 5085800 7154600 8442428 10553035 16884856 21106070 42212140 52765175 84424280 105530350 211060700 422121400