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422260640 = 25541591091
BaseRepresentation
bin11001001010110…
…010111110100000
31002102120001200222
4121022302332200
51331044320030
6105522302212
713315104404
oct3112627640
91072501628
10422260640
111a739a73a
12b94b7968
1369636989
144011b104
152710e3e5
hex192b2fa0

422260640 has 96 divisors (see below), whose sum is σ = 1040195520. Its totient is φ = 161843200.

The previous prime is 422260639. The next prime is 422260721. The reversal of 422260640 is 46062224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386495 + ... + 387585.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 2422260640 is an apocalyptic number.

422260640 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 422260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520097760).

422260640 is an abundant number, since it is smaller than the sum of its proper divisors (617934880).

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

422260640 is a wasteful number, since it uses less digits than its factorization.

422260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 422260640 is about 20548.9814832755. The cubic root of 422260640 is about 750.2284578097.

The spelling of 422260640 in words is "four hundred twenty-two million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 59 80 82 118 160 164 205 236 295 328 410 472 590 656 820 944 1091 1180 1312 1640 1888 2182 2360 2419 3280 4364 4720 4838 5455 6560 8728 9440 9676 10910 12095 17456 19352 21820 24190 34912 38704 43640 44731 48380 64369 77408 87280 89462 96760 128738 174560 178924 193520 223655 257476 321845 357848 387040 447310 514952 643690 715696 894620 1029904 1287380 1431392 1789240 2059808 2574760 2639129 3578480 5149520 5278258 7156960 10299040 10556516 13195645 21113032 26391290 42226064 52782580 84452128 105565160 211130320 422260640