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220669696 = 2813611087
BaseRepresentation
bin11010010011100…
…10011100000000
3120101020011220201
431021302130000
5422442412241
633521414544
75316442612
oct1511623400
9511204821
10220669696
11103620455
1261a9a454
13369434b0
1421442db2
151458d931
hexd272700

220669696 has 72 divisors (see below), whose sum is σ = 482580224. Its totient is φ = 100085760.

The previous prime is 220669681. The next prime is 220669699. The reversal of 220669696 is 696966022.

It is a super-2 number, since 2×2206696962 = 97390229465464832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220669699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202465 + ... + 203551.

Almost surely, 2220669696 is an apocalyptic number.

220669696 is a gapful number since it is divisible by the number (26) 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 220669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241290112).

220669696 is an abundant number, since it is smaller than the sum of its proper divisors (261910528).

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

220669696 is a wasteful number, since it uses less digits than its factorization.

220669696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 220669696 is about 14854.9552675193. The cubic root of 220669696 is about 604.2930028776.

The spelling of 220669696 in words is "two hundred twenty million, six hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 793 832 976 1087 1586 1664 1952 2174 3172 3328 3904 4348 6344 7808 8696 12688 14131 15616 17392 25376 28262 34784 50752 56524 66307 69568 101504 113048 132614 139136 203008 226096 265228 278272 452192 530456 861991 904384 1060912 1723982 1808768 2121824 3447964 3617536 4243648 6895928 8487296 13791856 16974592 27583712 55167424 110334848 220669696