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1356223000 = 235311139887
BaseRepresentation
bin101000011010110…
…0101001000011000
310111111222021012111
41100311211020120
510234143114000
6342324322104
745415463626
oct12065451030
93444867174
101356223000
11636609460
1231a243334
13187c91a22
14cc198516
157e0e8cba
hex50d65218

1356223000 has 128 divisors (see below), whose sum is σ = 3490905600. Its totient is φ = 489072000.

The previous prime is 1356222979. The next prime is 1356223003. The reversal of 1356223000 is 3226531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356223003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528557 + ... + 1529443.

It is an arithmetic number, because the mean of its divisors is an integer number (27272700).

Almost surely, 21356223000 is an apocalyptic number.

1356223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745452800).

1356223000 is an abundant number, since it is smaller than the sum of its proper divisors (2134682600).

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

1356223000 is a wasteful number, since it uses less digits than its factorization.

1356223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1356223000 is about 36826.9330789302. The cubic root of 1356223000 is about 1106.9050489684.

Adding to 1356223000 its reverse (3226531), we get a palindrome (1359449531).

The spelling of 1356223000 in words is "one billion, three hundred fifty-six million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 139 200 220 250 275 278 440 500 550 556 695 887 1000 1100 1112 1375 1390 1529 1774 2200 2750 2780 3058 3475 3548 4435 5500 5560 6116 6950 7096 7645 8870 9757 11000 12232 13900 15290 17375 17740 19514 22175 27800 30580 34750 35480 38225 39028 44350 48785 61160 69500 76450 78056 88700 97570 110875 123293 139000 152900 177400 191125 195140 221750 243925 246586 305800 382250 390280 443500 487850 493172 616465 764500 887000 975700 986344 1219625 1232930 1356223 1529000 1951400 2439250 2465860 2712446 3082325 4878500 4931720 5424892 6164650 6781115 9757000 10849784 12329300 13562230 15411625 24658600 27124460 30823250 33905575 54248920 61646500 67811150 123293000 135622300 169527875 271244600 339055750 678111500 1356223000