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3401400222 = 23311171672017
BaseRepresentation
bin1100101010111101…
…0011111110011110
322210001100000221000
43022233103332132
523431224301342
61321303451130
7150201265503
oct31257237636
98701300830
103401400222
111496002370
127ab156aa6
134228c626c
14243a534aa
1514d93244c
hexcabd3f9e

3401400222 has 128 divisors (see below), whose sum is σ = 8787502080. Its totient is φ = 963809280.

The previous prime is 3401400217. The next prime is 3401400251. The reversal of 3401400222 is 2220041043.

3401400222 is a `hidden beast` number, since 3 + 40 + 1 + 400 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3401400195 and 3401400204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1685358 + ... + 1687374.

It is an arithmetic number, because the mean of its divisors is an integer number (68652360).

Almost surely, 23401400222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393751040).

3401400222 is an abundant number, since it is smaller than the sum of its proper divisors (5386101858).

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

3401400222 is a wasteful number, since it uses less digits than its factorization.

3401400222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3401400222 is about 58321.5245171112. The cubic root of 3401400222 is about 1503.9009900564.

Adding to 3401400222 its reverse (2220041043), we get a palindrome (5621441265).

The spelling of 3401400222 in words is "three billion, four hundred one million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 167 187 198 297 306 334 374 459 501 561 594 918 1002 1122 1503 1683 1837 2017 2839 3006 3366 3674 4034 4509 5049 5511 5678 6051 8517 9018 10098 11022 12102 16533 17034 18153 22187 25551 31229 33066 34289 36306 44374 49599 51102 54459 62458 66561 68578 76653 93687 99198 102867 108918 133122 153306 187374 199683 205734 281061 308601 336839 377179 399366 562122 599049 617202 673678 754358 843183 925803 1010517 1131537 1198098 1686366 1851606 2021034 2263074 3031551 3394611 3705229 5726263 6063102 6789222 7410458 9094653 10183833 11115687 11452526 17178789 18189306 20367666 22231374 33347061 34357578 51536367 62988893 66694122 100041183 103072734 125977786 154609101 188966679 200082366 309218202 377933358 566900037 1133800074 1700700111 3401400222