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122276406 = 23753163337
BaseRepresentation
bin1110100100111…
…00101000110110
322112002021200210
413102130220312
5222300321111
620044450250
73013221660
oct722345066
9275067623
10122276406
116302708a
1234b49986
131c443105
141234d530
15ab050a6
hex749ca36

122276406 has 64 divisors (see below), whose sum is σ = 287359488. Its totient is φ = 33965568.

The previous prime is 122276389. The next prime is 122276423. The reversal of 122276406 is 604672221.

It is an interprime number because it is at equal distance from previous prime (122276389) and next prime (122276423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362670 + ... + 363006.

It is an arithmetic number, because the mean of its divisors is an integer number (4489992).

Almost surely, 2122276406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122276406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143679744).

122276406 is an abundant number, since it is smaller than the sum of its proper divisors (165083082).

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

122276406 is a wasteful number, since it uses less digits than its factorization.

122276406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 122276406 is about 11057.8662498694. The cubic root of 122276406 is about 496.3418423707.

The spelling of 122276406 in words is "one hundred twenty-two million, two hundred seventy-six thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 163 318 326 337 371 489 674 742 978 1011 1113 1141 2022 2226 2282 2359 3423 4718 6846 7077 8639 14154 17278 17861 25917 35722 51834 53583 54931 60473 107166 109862 120946 125027 164793 181419 250054 329586 362838 375081 384517 750162 769034 1153551 2307102 2911343 5822686 8734029 17468058 20379401 40758802 61138203 122276406