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1223683968 = 27313245129
BaseRepresentation
bin100100011101111…
…1110111110000000
310011021120120211110
41020323332332000
510001230341333
6321231443320
742216066513
oct11073767600
93137516743
101223683968
11578812971
122a1986540
13166697670
14b8736d7a
1572668063
hex48efef80

1223683968 has 64 divisors (see below), whose sum is σ = 3500456400. Its totient is φ = 376516608.

The previous prime is 1223683957. The next prime is 1223684027. The reversal of 1223683968 is 8693863221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117573 + ... + 127556.

Almost surely, 21223683968 is an apocalyptic number.

It is an amenable number.

1223683968 is an abundant number, since it is smaller than the sum of its proper divisors (2276772432).

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

1223683968 is a wasteful number, since it uses less digits than its factorization.

1223683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245159 (or 245147 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 1223683968 is about 34981.1944907546. The cubic root of 1223683968 is about 1069.6041765311.

The spelling of 1223683968 in words is "one billion, two hundred twenty-three million, six hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 245129 490258 735387 980516 1470774 1961032 2941548 3186677 3922064 5883096 6373354 7844128 9560031 11766192 12746708 15688256 19120062 23532384 25493416 31376512 38240124 47064768 50986832 76480248 94129536 101973664 152960496 203947328 305920992 407894656 611841984 1223683968