Search a number
-
+
10221230400 = 263522129423
BaseRepresentation
bin10011000010011101…
…11001100101000000
3222101100001022011220
421201032321211000
5131413113333100
64410124235040
7511202011353
oct114116714500
928340038156
1010221230400
114375688757
121b9309ba80
13c6b798c34
146cd6b029a
153ec50caa0
hex2613b9940

10221230400 has 84 divisors (see below), whose sum is σ = 33534169152. Its totient is φ = 2725660160.

The previous prime is 10221230363. The next prime is 10221230407. The reversal of 10221230400 is 403212201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10221230400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221230407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1059912 + ... + 1069511.

Almost surely, 210221230400 is an apocalyptic number.

10221230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221230400 is an abundant number, since it is smaller than the sum of its proper divisors (23312938752).

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

10221230400 is a wasteful number, since it uses less digits than its factorization.

10221230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129448 (or 2129433 counting only the distinct ones).

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

Adding to 10221230400 its reverse (403212201), we get a palindrome (10624442601).

The spelling of 10221230400 in words is "ten billion, two hundred twenty-one million, two hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2129423 4258846 6388269 8517692 10647115 12776538 17035384 21294230 25553076 31941345 34070768 42588460 51106152 53235575 63882690 68141536 85176920 102212304 106471150 127765380 136283072 159706725 170353840 204424608 212942300 255530760 319413450 340707680 408849216 425884600 511061520 638826900 681415360 851769200 1022123040 1277653800 1703538400 2044246080 2555307600 3407076800 5110615200 10221230400