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190234464 = 25372371093
BaseRepresentation
bin10110101011010…
…11111101100000
3111020221220121220
423111223331200
5342200000324
630513215040
74466652300
oct1325537540
9436856556
10190234464
1198422a72
1253861480
1330548394
141b39d600
1511a7ab79
hexb56bf60

190234464 has 144 divisors (see below), whose sum is σ = 597140208. Its totient is φ = 52835328.

The previous prime is 190234463. The next prime is 190234477. The reversal of 190234464 is 464432091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190234463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173502 + ... + 174594.

It is an arithmetic number, because the mean of its divisors is an integer number (4146807).

Almost surely, 2190234464 is an apocalyptic number.

190234464 is a gapful number since it is divisible by the number (14) 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 190234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298570104).

190234464 is an abundant number, since it is smaller than the sum of its proper divisors (406905744).

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

190234464 is a wasteful number, since it uses less digits than its factorization.

190234464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 190234464 is about 13792.5510330758. The cubic root of 190234464 is about 575.1260860234.

The spelling of 190234464 in words is "one hundred ninety million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1093 1176 1184 1554 1568 1776 1813 2072 2186 2352 3108 3279 3552 3626 4144 4372 4704 5439 6216 6558 7252 7651 8288 8744 10878 12432 13116 14504 15302 17488 21756 22953 24864 26232 29008 30604 34976 40441 43512 45906 52464 53557 58016 61208 80882 87024 91812 104928 107114 121323 122416 160671 161764 174048 183624 214228 242646 244832 283087 321342 323528 367248 428456 485292 566174 642684 647056 734496 849261 856912 970584 1132348 1285368 1294112 1698522 1713824 1941168 1981609 2264696 2570736 3397044 3882336 3963218 4529392 5141472 5944827 6794088 7926436 9058784 11889654 13588176 15852872 23779308 27176352 31705744 47558616 63411488 95117232 190234464