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2155264000 = 211538419
BaseRepresentation
bin1000000001110110…
…1011100000000000
312120012111202101121
42000131223200000
513403221422000
6553510442024
7104260304341
oct20035534000
95505452347
102155264000
11a0665481a
12501963314
1328469a256
141663540c8
15c9331b1a
hex8076b800

2155264000 has 96 divisors (see below), whose sum is σ = 5378864400. Its totient is φ = 862003200.

The previous prime is 2155263983. The next prime is 2155264019. The reversal of 2155264000 is 4625512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251791 + ... + 260209.

Almost surely, 22155264000 is an apocalyptic number.

2155264000 is a gapful number since it is divisible by the number (20) 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 2155264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689432200).

2155264000 is an abundant number, since it is smaller than the sum of its proper divisors (3223600400).

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

2155264000 is an frugal number, since it uses more digits than its factorization.

2155264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2155264000 is about 46424.8209474199. The cubic root of 2155264000 is about 1291.7153631774.

Adding to 2155264000 its reverse (4625512), we get a palindrome (2159889512).

The spelling of 2155264000 in words is "two billion, one hundred fifty-five million, two hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 5120 6400 8000 8419 10240 12800 16000 16838 25600 32000 33676 42095 51200 64000 67352 84190 128000 134704 168380 210475 256000 269408 336760 420950 538816 673520 841900 1052375 1077632 1347040 1683800 2104750 2155264 2694080 3367600 4209500 4310528 5388160 6735200 8419000 8621056 10776320 13470400 16838000 17242112 21552640 26940800 33676000 43105280 53881600 67352000 86210560 107763200 134704000 215526400 269408000 431052800 538816000 1077632000 2155264000