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201422100 = 223521167911
BaseRepresentation
bin11000000000101…
…11010100010100
3112001000022011210
430000113110110
5403031001400
631553101420
74664026305
oct1400272424
9461008153
10201422100
11a3774450
1257557870
1332964699
141ca727ac
1512a3a950
hexc017514

201422100 has 144 divisors (see below), whose sum is σ = 645958656. Its totient is φ = 48048000.

The previous prime is 201422093. The next prime is 201422147. The reversal of 201422100 is 1224102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220645 + ... + 221555.

It is an arithmetic number, because the mean of its divisors is an integer number (4485824).

Almost surely, 2201422100 is an apocalyptic number.

201422100 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 201422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322979328).

201422100 is an abundant number, since it is smaller than the sum of its proper divisors (444536556).

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

201422100 is a wasteful number, since it uses less digits than its factorization.

201422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 201422100 is about 14192.3253908583. The cubic root of 201422100 is about 586.1863571891.

Adding to 201422100 its reverse (1224102), we get a palindrome (202646202).

The spelling of 201422100 in words is "two hundred one million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 67 75 100 110 132 134 150 165 201 220 268 275 300 330 335 402 550 660 670 737 804 825 911 1005 1100 1340 1474 1650 1675 1822 2010 2211 2733 2948 3300 3350 3644 3685 4020 4422 4555 5025 5466 6700 7370 8844 9110 10021 10050 10932 11055 13665 14740 18220 18425 20042 20100 22110 22775 27330 30063 36850 40084 44220 45550 50105 54660 55275 60126 61037 68325 73700 91100 100210 110550 120252 122074 136650 150315 183111 200420 221100 244148 250525 273300 300630 305185 366222 501050 601260 610370 671407 732444 751575 915555 1002100 1220740 1342814 1503150 1525925 1831110 2014221 2685628 3006300 3051850 3357035 3662220 4028442 4577775 6103700 6714070 8056884 9155550 10071105 13428140 16785175 18311100 20142210 33570350 40284420 50355525 67140700 100711050 201422100