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221422142440 = 235101211259751
BaseRepresentation
bin1100111000110111001…
…0011100001111101000
3210011112021211021102101
43032031302130033220
512111433032024230
6245415300543144
721666022104532
oct3161562341750
9704467737371
10221422142440
11859a5032954
1236ab59b1ab4
1317b59528bc5
14aa07200852
155b5deaaaca
hex338dc9c3e8

221422142440 has 64 divisors (see below), whose sum is σ = 505518952320. Its totient is φ = 87276000000.

The previous prime is 221422142377. The next prime is 221422142441. The reversal of 221422142440 is 44241224122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221422142399 and 221422142408.

It is not an unprimeable number, because it can be changed into a prime (221422142441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722565 + ... + 982315.

It is an arithmetic number, because the mean of its divisors is an integer number (7898733630).

Almost surely, 2221422142440 is an apocalyptic number.

221422142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221422142440 is an abundant number, since it is smaller than the sum of its proper divisors (284096809880).

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

221422142440 is a wasteful number, since it uses less digits than its factorization.

221422142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260074 (or 260070 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 221422142440 its reverse (44241224122), we get a palindrome (265663366562).

The spelling of 221422142440 in words is "two hundred twenty-one billion, four hundred twenty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 211 404 422 505 808 844 1010 1055 1688 2020 2110 4040 4220 8440 21311 42622 85244 106555 170488 213110 259751 426220 519502 852440 1039004 1298755 2078008 2597510 5195020 10390040 26234851 52469702 54807461 104939404 109614922 131174255 209878808 219229844 262348510 274037305 438459688 524697020 548074610 1049394040 1096149220 2192298440 5535553561 11071107122 22142214244 27677767805 44284428488 55355535610 110711071220 221422142440