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868220928 = 2223223
BaseRepresentation
bin110011110000000…
…000000000000000
32020111201012012200
4303300000000000
53234231032203
6222052553200
730341520231
oct6360000000
92214635180
10868220928
114060a7263
12202922800
1310ab4a9c3
1483447088
15513509a3
hex33c00000

868220928 has 138 divisors (see below), whose sum is σ = 2617245384. Its totient is φ = 276824064.

The previous prime is 868220909. The next prime is 868220953. The reversal of 868220928 is 829022868.

It is a tau number, because it is divible by the number of its divisors (138).

It is a zygodrome in base 2.

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, 37748725 + ... + 37748747.

Almost surely, 2868220928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308622692).

868220928 is an abundant number, since it is smaller than the sum of its proper divisors (1749024456).

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

868220928 is an frugal number, since it uses more digits than its factorization.

868220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 868220928 is about 29465.5888792333. The cubic root of 868220928 is about 953.9891089563.

The spelling of 868220928 in words is "eight hundred sixty-eight million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2048 2208 2304 2944 3072 3312 4096 4416 4608 5888 6144 6624 8192 8832 9216 11776 12288 13248 16384 17664 18432 23552 24576 26496 32768 35328 36864 47104 49152 52992 65536 70656 73728 94208 98304 105984 131072 141312 147456 188416 196608 211968 262144 282624 294912 376832 393216 423936 524288 565248 589824 753664 786432 847872 1048576 1130496 1179648 1507328 1572864 1695744 2097152 2260992 2359296 3014656 3145728 3391488 4194304 4521984 4718592 6029312 6291456 6782976 9043968 9437184 12058624 12582912 13565952 18087936 18874368 24117248 27131904 36175872 37748736 48234496 54263808 72351744 96468992 108527616 144703488 217055232 289406976 434110464 868220928