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10221234000 = 243539831733
BaseRepresentation
bin10011000010011101…
…11010011101010000
3222101100001111010020
421201032322131100
5131413113442000
64410124303440
7511202025015
oct114116723520
928340044106
1010221234000
11437569042a
121b930a1b80
13c6b79a773
146cd6b170c
153ec50dba0
hex2613ba750

10221234000 has 160 divisors (see below), whose sum is σ = 33005816064. Its totient is φ = 2721318400.

The previous prime is 10221233987. The next prime is 10221234007. The reversal of 10221234000 is 43212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221234007) 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, 5897134 + ... + 5898866.

Almost surely, 210221234000 is an apocalyptic number.

10221234000 is a gapful number since it is divisible by the number (10) 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 10221234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502908032).

10221234000 is an abundant number, since it is smaller than the sum of its proper divisors (22784582064).

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

10221234000 is a wasteful number, since it uses less digits than its factorization.

10221234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10221234000 its reverse (43212201), we get a palindrome (10264446201).

The spelling of 10221234000 in words is "ten billion, two hundred twenty-one million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 983 1000 1200 1500 1733 1966 2000 2949 3000 3466 3932 4915 5199 5898 6000 6932 7864 8665 9830 10398 11796 13864 14745 15728 17330 19660 20796 23592 24575 25995 27728 29490 34660 39320 41592 43325 47184 49150 51990 58980 69320 73725 78640 83184 86650 98300 103980 117960 122875 129975 138640 147450 173300 196600 207960 216625 235920 245750 259950 294900 346600 368625 393200 415920 433250 491500 519900 589800 649875 693200 737250 866500 983000 1039800 1179600 1299750 1474500 1703539 1733000 1966000 2079600 2599500 2949000 3407078 3466000 5110617 5199000 5898000 6814156 8517695 10221234 10398000 13628312 17035390 20442468 25553085 27256624 34070780 40884936 42588475 51106170 68141560 81769872 85176950 102212340 127765425 136283120 170353900 204424680 212942375 255530850 340707800 408849360 425884750 511061700 638827125 681415600 851769500 1022123400 1277654250 1703539000 2044246800 2555308500 3407078000 5110617000 10221234000