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193112952 = 23341229857
BaseRepresentation
bin10111000001010…
…10101101111000
3111110101011011120
423200222231320
5343414103302
631055025240
74533301344
oct1340525570
9443334146
10193112952
119a00968a
125480b220
1331015626
141b90c624
1511e489bc
hexb82ab78

193112952 has 64 divisors (see below), whose sum is σ = 497296800. Its totient is φ = 62453760.

The previous prime is 193112939. The next prime is 193112987. The reversal of 193112952 is 259211391.

193112952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1931129522 = 74585224460308608, which contains 22 as substring.

It is a congruent number.

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, 224908 + ... + 225764.

Almost surely, 2193112952 is an apocalyptic number.

193112952 is a gapful number since it is divisible by the number (12) 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 193112952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248648400).

193112952 is an abundant number, since it is smaller than the sum of its proper divisors (304183848).

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

193112952 is a wasteful number, since it uses less digits than its factorization.

193112952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1132 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 193112952 is about 13896.5086262701. The cubic root of 193112952 is about 578.0123718731.

The spelling of 193112952 in words is "one hundred ninety-three million, one hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 458 492 687 857 916 984 1374 1714 1832 2571 2748 3428 5142 5496 6856 9389 10284 18778 20568 28167 35137 37556 56334 70274 75112 105411 112668 140548 196253 210822 225336 281096 392506 421644 588759 785012 843288 1177518 1570024 2355036 4710072 8046373 16092746 24139119 32185492 48278238 64370984 96556476 193112952