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122240628 = 22323395573
BaseRepresentation
bin1110100100100…
…11111001110100
322112000110121200
413102103321310
5222243200003
620044012500
73013012446
oct722237164
9275013550
10122240628
1163002214
1234b31130
131c42ca43
1412340496
15aae96a3
hex7493e74

122240628 has 18 divisors (see below), whose sum is σ = 308997234. Its totient is φ = 40746864.

The previous prime is 122240611. The next prime is 122240641. The reversal of 122240628 is 826042221.

It is a happy number.

122240628 is a `hidden beast` number, since 12 + 2 + 24 + 0 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72284004 + 49956624 = 8502^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1222406282 = 29885542267668768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1697751 + ... + 1697822.

It is an arithmetic number, because the mean of its divisors is an integer number (17166513).

Almost surely, 2122240628 is an apocalyptic number.

122240628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122240628 is an abundant number, since it is smaller than the sum of its proper divisors (186756606).

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

122240628 is a wasteful number, since it uses less digits than its factorization.

122240628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395583 (or 3395578 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 122240628 is about 11056.2483691350. The cubic root of 122240628 is about 496.2934278774.

Adding to 122240628 its reverse (826042221), we get a palindrome (948282849).

The spelling of 122240628 in words is "one hundred twenty-two million, two hundred forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3395573 6791146 10186719 13582292 20373438 30560157 40746876 61120314 122240628