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422676216 = 2332411311093
BaseRepresentation
bin11001001100011…
…000011011111000
31002110100011202200
4121030120123320
51331201114331
6105535230200
713321455114
oct3114303370
91073304680
10422676216
111a7653996
12b9678360
1369750b91
14401c8744
15271925e6
hex193186f8

422676216 has 96 divisors (see below), whose sum is σ = 1182701520. Its totient is φ = 136281600.

The previous prime is 422676211. The next prime is 422676229. The reversal of 422676216 is 612676224.

422676216 is a `hidden beast` number, since 4 + 2 + 26 + 7 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422676211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386166 + ... + 387258.

Almost surely, 2422676216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422676216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591350760).

422676216 is an abundant number, since it is smaller than the sum of its proper divisors (760025304).

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

422676216 is a wasteful number, since it uses less digits than its factorization.

422676216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 422676216 is about 20559.0908359295. The cubic root of 422676216 is about 750.4744944101.

It can be divided in two parts, 4226762 and 16, that added together give a triangular number (4226778 = T2907).

The spelling of 422676216 in words is "four hundred twenty-two million, six hundred seventy-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 131 164 246 262 328 369 393 492 524 738 786 984 1048 1093 1179 1476 1572 2186 2358 2952 3144 3279 4372 4716 5371 6558 8744 9432 9837 10742 13116 16113 19674 21484 26232 32226 39348 42968 44813 48339 64452 78696 89626 96678 128904 134439 143183 179252 193356 268878 286366 358504 386712 403317 429549 537756 572732 806634 859098 1075512 1145464 1288647 1613268 1718196 2577294 3226536 3436392 5154588 5870503 10309176 11741006 17611509 23482012 35223018 46964024 52834527 70446036 105669054 140892072 211338108 422676216