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422071040 = 2851991657
BaseRepresentation
bin11001001010000…
…100101100000000
31002102012102121202
4121022010230000
51331022233130
6105514240332
713313354546
oct3112045400
91072172552
10422071040
111a7280246
12b94260a8
136959b5a1
14400abd96
15270c3145
hex19284b00

422071040 has 72 divisors (see below), whose sum is σ = 1016685600. Its totient is φ = 167878656.

The previous prime is 422071007. The next prime is 422071043. The reversal of 422071040 is 40170224.

422071040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (422071043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253892 + ... + 255548.

Almost surely, 2422071040 is an apocalyptic number.

422071040 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 422071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508342800).

422071040 is an abundant number, since it is smaller than the sum of its proper divisors (594614560).

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

422071040 is a wasteful number, since it uses less digits than its factorization.

422071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1863 counting only the distinct ones).

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

The square root of 422071040 is about 20544.3675979574. The cubic root of 422071040 is about 750.1161538620.

The spelling of 422071040 in words is "four hundred twenty-two million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 320 398 640 796 995 1280 1592 1657 1990 3184 3314 3980 6368 6628 7960 8285 12736 13256 15920 16570 25472 26512 31840 33140 50944 53024 63680 66280 106048 127360 132560 212096 254720 265120 329743 424192 530240 659486 1060480 1318972 1648715 2120960 2637944 3297430 5275888 6594860 10551776 13189720 21103552 26379440 42207104 52758880 84414208 105517760 211035520 422071040