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132226230 = 23541193557
BaseRepresentation
bin1111110000110…
…01110010110110
3100012210210021210
413320121302312
5232322214410
621042022250
73163622133
oct770316266
9305723253
10132226230
1168702584
1238347986
1321517b96
14137bd58a
15b91d220
hex7e19cb6

132226230 has 64 divisors (see below), whose sum is σ = 327354048. Its totient is φ = 34160640.

The previous prime is 132226219. The next prime is 132226249. The reversal of 132226230 is 32622231.

It is a junction number, because it is equal to n+sod(n) for n = 132226197 and 132226206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237112 + ... + 237668.

It is an arithmetic number, because the mean of its divisors is an integer number (5114907).

Almost surely, 2132226230 is an apocalyptic number.

132226230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132226230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677024).

132226230 is an abundant number, since it is smaller than the sum of its proper divisors (195127818).

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

132226230 is a wasteful number, since it uses less digits than its factorization.

132226230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132226230 is about 11498.9664752968. The cubic root of 132226230 is about 509.4550503621.

Adding to 132226230 its reverse (32622231), we get a palindrome (164848461).

The spelling of 132226230 in words is "one hundred thirty-two million, two hundred twenty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 193 205 246 386 410 557 579 615 965 1114 1158 1230 1671 1930 2785 2895 3342 5570 5790 7913 8355 15826 16710 22837 23739 39565 45674 47478 68511 79130 107501 114185 118695 137022 215002 228370 237390 322503 342555 537505 645006 685110 1075010 1612515 3225030 4407541 8815082 13222623 22037705 26445246 44075410 66113115 132226230