Search a number
-
+
22110020001000 = 2332532456668889
BaseRepresentation
bin1010000011011111000111…
…11000110101110011101000
32220021200211022100111012200
411001233203320311303220
510344222310110013000
6115005111501340200
74441252623062241
oct501574370656350
986250738314180
1022110020001000
117054896979a88
1225910a0b67660
13c44c732289c9
145661b8819cc8
152851ebaac500
hex141be3e35ce8

22110020001000 has 96 divisors (see below), whose sum is σ = 74731867633800. Its totient is φ = 5896005331200.

The previous prime is 22110020000989. The next prime is 22110020001023. The reversal of 22110020001000 is 10002001122.

It can be written as a sum of positive squares in 4 ways, for example, as 6067639974564 + 16042380026436 = 2463258^2 + 4005294^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228325445 + ... + 1228343444.

Almost surely, 222110020001000 is an apocalyptic number.

22110020001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110020001000 is an abundant number, since it is smaller than the sum of its proper divisors (52621847632800).

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

22110020001000 is a wasteful number, since it uses less digits than its factorization.

22110020001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456668916 (or 2456668899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22110020001000 its reverse (10002001122), we get a palindrome (22120022002122).

The spelling of 22110020001000 in words is "twenty-two trillion, one hundred ten billion, twenty million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2456668889 4913337778 7370006667 9826675556 12283344445 14740013334 19653351112 22110020001 24566688890 29480026668 36850033335 44220040002 49133377780 58960053336 61416722225 73700066670 88440080004 98266755560 110550100005 122833444450 147400133340 176880160008 184250166675 221100200010 245666888900 294800266680 307083611125 368500333350 442200400020 491333777800 552750500025 614167222250 737000666700 884400800040 921250833375 1105501000050 1228334444500 1474001333400 1842501666750 2211002000100 2456668889000 2763752500125 3685003333500 4422004000200 5527505000250 7370006667000 11055010000500 22110020001000