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422707040 = 2557171492
BaseRepresentation
bin11001001100011…
…111111101100000
31002110101202001022
4121030133331200
51331203111130
6105540025012
713321644020
oct3114377540
91073352038
10422707040
111a7675068
12b9692168
1369761c12
14401d5a80
152719b7e5
hex1931ff60

422707040 has 144 divisors (see below), whose sum is σ = 1216609632. Its totient is φ = 135487488.

The previous prime is 422707027. The next prime is 422707067. The reversal of 422707040 is 40707224.

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, 2836886 + ... + 2837034.

It is an arithmetic number, because the mean of its divisors is an integer number (8448678).

Almost surely, 2422707040 is an apocalyptic number.

422707040 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 422707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608304816).

422707040 is an abundant number, since it is smaller than the sum of its proper divisors (793902592).

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

422707040 is a wasteful number, since it uses less digits than its factorization.

422707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 422707040 is about 20559.8404663071. The cubic root of 422707040 is about 750.4927369502.

The spelling of 422707040 in words is "four hundred twenty-two million, seven hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 149 160 170 224 238 272 280 298 340 476 544 560 595 596 680 745 952 1043 1120 1190 1192 1360 1490 1904 2086 2380 2384 2533 2720 2980 3808 4172 4760 4768 5066 5215 5960 8344 9520 10132 10430 11920 12665 16688 17731 19040 20264 20860 22201 23840 25330 33376 35462 40528 41720 44402 50660 70924 81056 83440 88655 88804 101320 111005 141848 155407 166880 177310 177608 202640 222010 283696 310814 354620 355216 377417 405280 444020 567392 621628 709240 710432 754834 777035 888040 1243256 1418480 1509668 1554070 1776080 1887085 2486512 2641919 2836960 3019336 3108140 3552160 3774170 4973024 5283838 6038672 6216280 7548340 10567676 12077344 12432560 13209595 15096680 21135352 24865120 26419190 30193360 42270704 52838380 60386720 84541408 105676760 211353520 422707040