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22002131000 = 2353176911873
BaseRepresentation
bin10100011111011011…
…011110000000111000
32002210100220001122202
4110133123132000320
5330030021143000
614035130005332
71406143012343
oct243733360070
962710801582
1022002131000
1193706a1743
124320576848
1320c8419c35
1410ca17745a
1588b8eedd5
hex51f6de038

22002131000 has 128 divisors (see below), whose sum is σ = 54621552960. Its totient is φ = 8266752000.

The previous prime is 22002130979. The next prime is 22002131029. The reversal of 22002131000 is 13120022.

It is a happy number.

It is a super-2 number, since 2×220021310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 11746064 + ... + 11747936.

Almost surely, 222002131000 is an apocalyptic number.

22002131000 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 22002131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310776480).

22002131000 is an abundant number, since it is smaller than the sum of its proper divisors (32619421960).

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

22002131000 is a wasteful number, since it uses less digits than its factorization.

22002131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22002131000 its reverse (13120022), we get a palindrome (22015251022).

The spelling of 22002131000 in words is "twenty-two billion, two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 691 850 1000 1382 1700 1873 2125 2764 3400 3455 3746 4250 5528 6910 7492 8500 9365 11747 13820 14984 17000 17275 18730 23494 27640 31841 34550 37460 46825 46988 58735 63682 69100 74920 86375 93650 93976 117470 127364 138200 159205 172750 187300 234125 234940 254728 293675 318410 345500 374600 468250 469880 587350 636820 691000 796025 936500 1174700 1273640 1294243 1468375 1592050 1873000 2349400 2588486 2936750 3184100 3980125 5176972 5873500 6368200 6471215 7960250 10353944 11747000 12942430 15920500 22002131 25884860 31841000 32356075 44004262 51769720 64712150 88008524 110010655 129424300 161780375 176017048 220021310 258848600 323560750 440042620 550053275 647121500 880085240 1100106550 1294243000 2200213100 2750266375 4400426200 5500532750 11001065500 22002131000