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145197450 = 232522291409
BaseRepresentation
bin10001010011110…
…00100110001010
3101010012210110100
420221320212022
5244132304300
622224030230
73412105116
oct1051704612
9333183410
10145197450
1174a61aa2
1240762376
1324109c68
14153d8746
15cb31700
hex8a7898a

145197450 has 72 divisors (see below), whose sum is σ = 392078700. Its totient is φ = 38522880.

The previous prime is 145197443. The next prime is 145197463. The reversal of 145197450 is 54791541.

145197450 is a `hidden beast` number, since 14 + 5 + 197 + 450 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41951529 + 103245921 = 6477^2 + 10161^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102346 + ... + 103754.

Almost surely, 2145197450 is an apocalyptic number.

145197450 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 145197450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196039350).

145197450 is an abundant number, since it is smaller than the sum of its proper divisors (246881250).

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

145197450 is a wasteful number, since it uses less digits than its factorization.

145197450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 145197450 is about 12049.7904546096. The cubic root of 145197450 is about 525.5971436707.

The spelling of 145197450 in words is "one hundred forty-five million, one hundred ninety-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 229 450 458 687 1145 1374 1409 2061 2290 2818 3435 4122 4227 5725 6870 7045 8454 10305 11450 12681 14090 17175 20610 21135 25362 34350 35225 42270 51525 63405 70450 103050 105675 126810 211350 317025 322661 634050 645322 967983 1613305 1935966 2903949 3226610 4839915 5807898 8066525 9679830 14519745 16133050 24199575 29039490 48399150 72598725 145197450