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2153301000 = 233531933719
BaseRepresentation
bin1000000001011000…
…1100010000001000
312120001211000122220
42000112030100020
513402221113000
6553400414040
7104234520324
oct20026142010
95501730586
102153301000
11a05533a04
12501177320
13284160906
14165da2984
15c90951a0
hex8058c408

2153301000 has 128 divisors (see below), whose sum is σ = 6754924800. Its totient is φ = 571084800.

The previous prime is 2153300999. The next prime is 2153301043. The reversal of 2153301000 is 1033512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577141 + ... + 580859.

It is an arithmetic number, because the mean of its divisors is an integer number (52772850).

Almost surely, 22153301000 is an apocalyptic number.

2153301000 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 2153301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377462400).

2153301000 is an abundant number, since it is smaller than the sum of its proper divisors (4601623800).

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

2153301000 is a wasteful number, since it uses less digits than its factorization.

2153301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2153301000 is about 46403.6744234764. The cubic root of 2153301000 is about 1291.3230821604.

Adding to 2153301000 its reverse (1033512), we get a palindrome (2154334512).

The spelling of 2153301000 in words is "two billion, one hundred fifty-three million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 193 200 250 300 375 386 500 579 600 750 772 965 1000 1158 1500 1544 1930 2316 2895 3000 3719 3860 4632 4825 5790 7438 7720 9650 11157 11580 14475 14876 18595 19300 22314 23160 24125 28950 29752 37190 38600 44628 48250 55785 57900 72375 74380 89256 92975 96500 111570 115800 144750 148760 185950 193000 223140 278925 289500 371900 446280 464875 557850 579000 717767 743800 929750 1115700 1394625 1435534 1859500 2153301 2231400 2789250 2871068 3588835 3719000 4306602 5578500 5742136 7177670 8613204 10766505 11157000 14355340 17226408 17944175 21533010 28710680 35888350 43066020 53832525 71776700 86132040 89720875 107665050 143553400 179441750 215330100 269162625 358883500 430660200 538325250 717767000 1076650500 2153301000