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196225040 = 24511317193
BaseRepresentation
bin10111011001000…
…10100000010000
3111200020021011002
423230202200100
5400213200130
631245441132
74601612444
oct1354424020
9450207132
10196225040
11a0844860
12558701a8
1331864cbb
141c0bc824
1512360b45
hexbb22810

196225040 has 80 divisors (see below), whose sum is σ = 513824256. Its totient is φ = 69043200.

The previous prime is 196225013. The next prime is 196225063. The reversal of 196225040 is 40522691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 196224994 and 196225012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23684 + ... + 30876.

Almost surely, 2196225040 is an apocalyptic number.

196225040 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 196225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256912128).

196225040 is an abundant number, since it is smaller than the sum of its proper divisors (317599216).

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

196225040 is a wasteful number, since it uses less digits than its factorization.

196225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 196225040 is about 14008.0348371925. The cubic root of 196225040 is about 581.1008028060.

The spelling of 196225040 in words is "one hundred ninety-six million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 7193 13640 14386 27280 28772 35965 57544 71930 79123 115088 143860 158246 222983 287720 316492 395615 445966 575440 632984 791230 891932 1114915 1265968 1582460 1783864 2229830 2452813 3164920 3567728 4459660 4905626 6329840 8919320 9811252 12264065 17838640 19622504 24528130 39245008 49056260 98112520 196225040