Search a number
-
+
22132101000 = 233537377367
BaseRepresentation
bin10100100111001011…
…010000111110001000
32010010102110012222110
4110213023100332020
5330311304213000
614100051422320
71412311516542
oct244713207610
963112405873
1022132101000
119427aa3069
124357bb49a0
132119324b69
1410dd52a692
15898024850
hex5272d0f88

22132101000 has 64 divisors (see below), whose sum is σ = 69052164480. Its totient is φ = 5901892800.

The previous prime is 22132100993. The next prime is 22132101007. The reversal of 22132101000 is 10123122.

It is an interprime number because it is at equal distance from previous prime (22132100993) and next prime (22132101007).

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

It is not an unprimeable number, because it can be changed into a prime (22132101007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685684 + ... + 3691683.

It is an arithmetic number, because the mean of its divisors is an integer number (1078940070).

Almost surely, 222132101000 is an apocalyptic number.

22132101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132101000 is an abundant number, since it is smaller than the sum of its proper divisors (46920063480).

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

22132101000 is a wasteful number, since it uses less digits than its factorization.

22132101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377391 (or 7377377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22132101000 its reverse (10123122), we get a palindrome (22142224122).

The spelling of 22132101000 in words is "twenty-two billion, one hundred thirty-two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7377367 14754734 22132101 29509468 36886835 44264202 59018936 73773670 88528404 110660505 147547340 177056808 184434175 221321010 295094680 368868350 442642020 553302525 737736700 885284040 922170875 1106605050 1475473400 1844341750 2213210100 2766512625 3688683500 4426420200 5533025250 7377367000 11066050500 22132101000