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122774442 = 23717373461
BaseRepresentation
bin1110101000101…
…10001110101010
322120000120212120
413110112032222
5222412240232
620103252110
73020364660
oct724261652
9276016776
10122774442
116333728a
123514a036
131c5889cb
141243cc30
15aba292c
hex75163aa

122774442 has 64 divisors (see below), whose sum is σ = 298577664. Its totient is φ = 32855040.

The previous prime is 122774423. The next prime is 122774461. The reversal of 122774442 is 244477221.

It is an interprime number because it is at equal distance from previous prime (122774423) and next prime (122774461).

It is a super-2 number, since 2×1227744422 = 30147127216822728, which contains 22 as substring.

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, 266092 + ... + 266552.

It is an arithmetic number, because the mean of its divisors is an integer number (4665276).

Almost surely, 2122774442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122774442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

122774442 is an abundant number, since it is smaller than the sum of its proper divisors (175803222).

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

122774442 is a wasteful number, since it uses less digits than its factorization.

122774442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863.

The product of its digits is 25088, while the sum is 33.

The square root of 122774442 is about 11080.3629001942. The cubic root of 122774442 is about 497.0148019888.

The spelling of 122774442 in words is "one hundred twenty-two million, seven hundred seventy-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 373 461 714 746 922 1119 1383 2238 2611 2766 3227 5222 6341 6454 7833 7837 9681 12682 15666 15674 19023 19362 23511 38046 44387 47022 54859 88774 109718 133161 164577 171953 266322 329154 343906 515859 1031718 1203671 2407342 2923201 3611013 5846402 7222026 8769603 17539206 20462407 40924814 61387221 122774442