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189956250 = 2325511307
BaseRepresentation
bin10110101001010…
…00000010011010
3111020102202222200
423110220002122
5342112100000
630503231030
74464413211
oct1324500232
9436382880
10189956250
1198252a40
1253748476
133047b863
141b32a078
1511a23500
hexb52809a

189956250 has 144 divisors (see below), whose sum is σ = 563026464. Its totient is φ = 45900000.

The previous prime is 189956237. The next prime is 189956297. The reversal of 189956250 is 52659981.

189956250 is a `hidden beast` number, since 1 + 89 + 9 + 562 + 5 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 189956196 and 189956205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 618597 + ... + 618903.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2189956250 is an apocalyptic number.

189956250 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 189956250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281513232).

189956250 is an abundant number, since it is smaller than the sum of its proper divisors (373070214).

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

189956250 is a wasteful number, since it uses less digits than its factorization.

189956250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 189956250 is about 13782.4616814269. The cubic root of 189956250 is about 574.8455792007.

The spelling of 189956250 in words is "one hundred eighty-nine million, nine hundred fifty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 125 150 165 198 225 250 275 307 330 375 450 495 550 614 625 750 825 921 990 1125 1250 1375 1535 1650 1842 1875 2250 2475 2750 2763 3070 3125 3377 3750 4125 4605 4950 5526 5625 6250 6754 6875 7675 8250 9210 9375 10131 11250 12375 13750 13815 15350 16885 18750 20262 20625 23025 24750 27630 28125 30393 33770 34375 38375 41250 46050 50655 56250 60786 61875 68750 69075 76750 84425 101310 103125 115125 123750 138150 151965 168850 191875 206250 230250 253275 303930 309375 345375 383750 422125 506550 575625 618750 690750 759825 844250 959375 1151250 1266375 1519650 1726875 1918750 2110625 2532750 2878125 3453750 3799125 4221250 5756250 6331875 7598250 8634375 10553125 12663750 17268750 18995625 21106250 31659375 37991250 63318750 94978125 189956250