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122277040 = 2451528463
BaseRepresentation
bin1110100100111…
…00110010110000
322112002022120021
413102130302300
5222300331130
620044453224
73013223554
oct722346260
9275068507
10122277040
1163027606
1234b4a214
131c4434a2
141234d864
15ab0537a
hex749ccb0

122277040 has 20 divisors (see below), whose sum is σ = 284294304. Its totient is φ = 48910784.

The previous prime is 122277037. The next prime is 122277053. The reversal of 122277040 is 40772221.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1222770402 = 29903349022323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122276996 and 122277014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764152 + ... + 764311.

Almost surely, 2122277040 is an apocalyptic number.

122277040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122277040 is an abundant number, since it is smaller than the sum of its proper divisors (162017264).

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

122277040 is a wasteful number, since it uses less digits than its factorization.

122277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528476 (or 1528470 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 122277040 is about 11057.8949172073. The cubic root of 122277040 is about 496.3427002091.

The spelling of 122277040 in words is "one hundred twenty-two million, two hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1528463 3056926 6113852 7642315 12227704 15284630 24455408 30569260 61138520 122277040