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122023216 = 2474126573
BaseRepresentation
bin1110100010111…
…10110100110000
322111121102101101
413101132310300
5222214220331
620035214144
73011115550
oct721366460
9274542341
10122023216
1162973937
1234a47354
131c384ab3
14122c5160
15aaa5061
hex745ed30

122023216 has 40 divisors (see below), whose sum is σ = 276794784. Its totient is φ = 51018240.

The previous prime is 122023201. The next prime is 122023217. The reversal of 122023216 is 612320221.

It is a junction number, because it is equal to n+sod(n) for n = 122023193 and 122023202.

It is not an unprimeable number, because it can be changed into a prime (122023217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8695 + ... + 17878.

Almost surely, 2122023216 is an apocalyptic number.

122023216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122023216 is an abundant number, since it is smaller than the sum of its proper divisors (154771568).

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

122023216 is a wasteful number, since it uses less digits than its factorization.

122023216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26629 (or 26623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 122023216 is about 11046.4119061350. The cubic root of 122023216 is about 495.9990244518. Note that the first 3 decimals are identical.

Adding to 122023216 its reverse (612320221), we get a palindrome (734343437).

The spelling of 122023216 in words is "one hundred twenty-two million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 26573 53146 106292 186011 212584 372022 425168 744044 1089493 1488088 2178986 2976176 4357972 7626451 8715944 15252902 17431888 30505804 61011608 122023216