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22001201000 = 235353571727
BaseRepresentation
bin10100011111010111…
…111010111101101000
32002210022010210221022
4110133113322331220
5330024301413000
614035054032012
71406132060102
oct243727727550
962708123838
1022001201000
119370116a49
1243201a8608
1320c818283c
1410c9db4572
1588b7b9585
hex51f5faf68

22001201000 has 128 divisors (see below), whose sum is σ = 52618325760. Its totient is φ = 8607456000.

The previous prime is 22001200967. The next prime is 22001201003. The reversal of 22001201000 is 10210022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22001201003) 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, 30262637 + ... + 30263363.

It is an arithmetic number, because the mean of its divisors is an integer number (411080670).

Almost surely, 222001201000 is an apocalyptic number.

22001201000 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 22001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26309162880).

22001201000 is an abundant number, since it is smaller than the sum of its proper divisors (30617124760).

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

22001201000 is a wasteful number, since it uses less digits than its factorization.

22001201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22001201000 its reverse (10210022), we get a palindrome (22011411022).

The spelling of 22001201000 in words is "twenty-two billion, one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 571 727 1000 1060 1142 1325 1454 2120 2284 2650 2855 2908 3635 4568 5300 5710 5816 6625 7270 10600 11420 13250 14275 14540 18175 22840 26500 28550 29080 30263 36350 38531 53000 57100 60526 71375 72700 77062 90875 114200 121052 142750 145400 151315 154124 181750 192655 242104 285500 302630 308248 363500 385310 415117 571000 605260 727000 756575 770620 830234 963275 1210520 1513150 1541240 1660468 1926550 2075585 3026300 3320936 3782875 3853100 4151170 4816375 6052600 7565750 7706200 8302340 9632750 10377925 15131500 16604680 19265500 20755850 22001201 30263000 38531000 41511700 44002402 51889625 83023400 88004804 103779250 110006005 176009608 207558500 220012010 415117000 440024020 550030025 880048040 1100060050 2200120100 2750150125 4400240200 5500300250 11000600500 22001201000